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Finding the Fourth Proportional to 381,691.92, 572,537.92 and 144,978.64

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Solution

The fourth proportional to 381,691.92, 572,537.92 and 144,978.64 is: 217,467.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,691.92 : 572,537.92 = 144,978.64 : x
  2. Step 2: Convert to fraction form
    381,691.92/572,537.92 = 144,978.64/x
  3. Step 3: Cross multiply
    381,691.92x = 572,537.92 × 144,978.64
  4. Step 4: Simplify right side
    381,691.92x = 83,005,768,990.03
  5. Step 5: Solve for x
    x = 83,005,768,990.03/381,691.92
  6. Step 6: Final answer
    x = 217,467.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.