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Finding the Fourth Proportional to 381,459.90, 572,293.08 and 115,229.10

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Solution

The fourth proportional to 381,459.90, 572,293.08 and 115,229.10 is: 172,874.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,459.90 : 572,293.08 = 115,229.10 : x
  2. Step 2: Convert to fraction form
    381,459.90/572,293.08 = 115,229.10/x
  3. Step 3: Cross multiply
    381,459.90x = 572,293.08 × 115,229.10
  4. Step 4: Simplify right side
    381,459.90x = 65,944,816,544.63
  5. Step 5: Solve for x
    x = 65,944,816,544.63/381,459.90
  6. Step 6: Final answer
    x = 172,874.83

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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.