After Ireland won the toss, skipper Paul Stirling put West Indies in to bat despite their tally of 352 on Friday.
Opener Brandon King was caught leg before wicket by Barry McCarthy for just one, but that brought Carty to the crease who produced his second century of the series and bettered his previous best ODI tally of 128 set against England in November.
Ireland’s bowling corps was depleted by injuries both before and during the series, and Carty feasted on a tiring attack.
The 28-year-old survived a few scares on his way to the huge tally, most notably when on 150 he was bowled by Liam McCarthy only for the delivery to be deemed a no-ball.
He was eventually out for 170 when, off the bowling of Liam McCarthy, he was caught by George Dockrell who had previously gathered one deep drive but carried across the rope for a six.
With Carty ably supported by captain Shai Hope, who scored 75 off 75 balls, and a maiden international half-century from Justin Greaves, West Indies’ 385 was the largest ODI tally ever scored at Clontarf.
While Stirling’s 26 contained three fours and two sixes, when set such an imposing target, Ireland’s response was never at the pace required.
Cade Carmichael, who made his international debut in the series, top-scored for the hosts with his 48 coming off 63 balls.
Next up for West Indies will be three one-day internationals and three T20s against England which begin on Thursday at Edgbaston to start Harry Brook’s white-ball captaincy for the hosts.
West Indies will return to Ireland for three T20 internationals to be played at Bready next month.
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