If P : Q : R = 2 : 3 : 4, then find P/Q : Q/R : R/P?

Given that, P : Q : R = 2 : 3 : 4
Let P = 2K, Q = 3K, R = 4K
∴ P/Q = 2K/3K = 2/3,
Q/R = 3K/4K = 3/4,
R/P = 4K/2K = 2/1
∴ P/Q : Q/R : R/P = 2/3 : 3/4 : 2/1
= (2 x 12)/3 : (3 x 12)/ 4 : (2 x 12)/1
= (2 x 4) : (3 x 3) : 24
= 8 : 9 : 24