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Finding the Fourth Proportional to 381,464.92, 572,300.58 and 115,234.12

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Solution

The fourth proportional to 381,464.92, 572,300.58 and 115,234.12 is: 172,882.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,464.92 : 572,300.58 = 115,234.12 : x
  2. Step 2: Convert to fraction form
    381,464.92/572,300.58 = 115,234.12/x
  3. Step 3: Cross multiply
    381,464.92x = 572,300.58 × 115,234.12
  4. Step 4: Simplify right side
    381,464.92x = 65,948,553,711.79
  5. Step 5: Solve for x
    x = 65,948,553,711.79/381,464.92
  6. Step 6: Final answer
    x = 172,882.35

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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.