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Finding the Fourth Proportional to 284,732.55, 392,939.12 and 157,416.35

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Solution

The fourth proportional to 284,732.55, 392,939.12 and 157,416.35 is: 217,239.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,732.55 : 392,939.12 = 157,416.35 : x
  2. Step 2: Convert to fraction form
    284,732.55/392,939.12 = 157,416.35/x
  3. Step 3: Cross multiply
    284,732.55x = 392,939.12 × 157,416.35
  4. Step 4: Simplify right side
    284,732.55x = 61,855,042,042.61
  5. Step 5: Solve for x
    x = 61,855,042,042.61/284,732.55
  6. Step 6: Final answer
    x = 217,239.10

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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.