Finding the Fourth Proportional to 284,695.94, 392,882.74 and 157,373.66
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Solution
The fourth proportional to 284,695.94, 392,882.74 and 157,373.66 is: 217,176.95
Step by Step Solution
- Step 1: Write the proportion equation
284,695.94 : 392,882.74 = 157,373.66 : x - Step 2: Convert to fraction form
284,695.94/392,882.74 = 157,373.66/x - Step 3: Cross multiply
284,695.94x = 392,882.74 × 157,373.66 - Step 4: Simplify right side
284,695.94x = 61,829,394,744.63 - Step 5: Solve for x
x = 61,829,394,744.63/284,695.94 - Step 6: Final answer
x = 217,176.95
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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.