Finding the Fourth Proportional to 284,720.24, 392,933.76 and 157,407.68
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Solution
The fourth proportional to 284,720.24, 392,933.76 and 157,407.68 is: 217,233.56
Step by Step Solution
- Step 1: Write the proportion equation
284,720.24 : 392,933.76 = 157,407.68 : x - Step 2: Convert to fraction form
284,720.24/392,933.76 = 157,407.68/x - Step 3: Cross multiply
284,720.24x = 392,933.76 × 157,407.68 - Step 4: Simplify right side
284,720.24x = 61,850,791,555.28 - Step 5: Solve for x
x = 61,850,791,555.28/284,720.24 - Step 6: Final answer
x = 217,233.56
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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.