Finding the Fourth Proportional to 419,207.20, 628,415.52 and 208,646.08
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Solution
The fourth proportional to 419,207.20, 628,415.52 and 208,646.08 is: 312,772.38
Step by Step Solution
- Step 1: Write the proportion equation
419,207.20 : 628,415.52 = 208,646.08 : x - Step 2: Convert to fraction form
419,207.20/628,415.52 = 208,646.08/x - Step 3: Cross multiply
419,207.20x = 628,415.52 × 208,646.08 - Step 4: Simplify right side
419,207.20x = 131,116,434,859.16 - Step 5: Solve for x
x = 131,116,434,859.16/419,207.20 - Step 6: Final answer
x = 312,772.38
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.