Ducats

The king divided the ducats to his three sons in a ratio of 2: 5: 4. How many ducats the king divided them if the youngest received 260 ducats, which was the least of all sons.

Correct result:

n =  1430

Solution:

260 = n • 2/(2+5+4)

0.181818n = 260

n = 1430

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