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Finding the Fourth Proportional to 284,098.41, 392,054.45 and 156,781.80

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Solution

The fourth proportional to 284,098.41, 392,054.45 and 156,781.80 is: 216,358.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,098.41 : 392,054.45 = 156,781.80 : x
  2. Step 2: Convert to fraction form
    284,098.41/392,054.45 = 156,781.80/x
  3. Step 3: Cross multiply
    284,098.41x = 392,054.45 × 156,781.80
  4. Step 4: Simplify right side
    284,098.41x = 61,467,001,585.10
  5. Step 5: Solve for x
    x = 61,467,001,585.10/284,098.41
  6. Step 6: Final answer
    x = 216,358.13

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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.