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Finding the Fourth Proportional to 284,046.72, 392,002.56 and 156,721.92

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Solution

The fourth proportional to 284,046.72, 392,002.56 and 156,721.92 is: 216,286.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,046.72 : 392,002.56 = 156,721.92 : x
  2. Step 2: Convert to fraction form
    284,046.72/392,002.56 = 156,721.92/x
  3. Step 3: Cross multiply
    284,046.72x = 392,002.56 × 156,721.92
  4. Step 4: Simplify right side
    284,046.72x = 61,435,393,848.12
  5. Step 5: Solve for x
    x = 61,435,393,848.12/284,046.72
  6. Step 6: Final answer
    x = 216,286.23

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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.