ΔE 15.7, loose: different enough that you should pick on purpose. Ultramarine Blue is a little lighter, more muted, cooler than Purple Rain.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 16). Ultramarine Blue is a little lighter, more muted, cooler than Purple Rain.
The same difference applies the other way round: Purple Rain is a little darker, more saturated, warmer.
ΔE is the colour difference between our two swatch estimates: under about 6 is close, over about 15 is loose. Real paints also differ in finish, coverage and how they thin, so test before you commit.
See Purple Rain on the colour wheel See Ultramarine Blue on the colour wheel
All matches: Purple Rain equivalents · Ultramarine Blue equivalents