Finding the Fourth Proportional to 284,759.36, 392,933.28 and 157,417.28
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Solution
The fourth proportional to 284,759.36, 392,933.28 and 157,417.28 is: 217,216.70
Step by Step Solution
- Step 1: Write the proportion equation
284,759.36 : 392,933.28 = 157,417.28 : x - Step 2: Convert to fraction form
284,759.36/392,933.28 = 157,417.28/x - Step 3: Cross multiply
284,759.36x = 392,933.28 × 157,417.28 - Step 4: Simplify right side
284,759.36x = 61,854,488,159.08 - Step 5: Solve for x
x = 61,854,488,159.08/284,759.36 - Step 6: Final answer
x = 217,216.70
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.