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Finding the Fourth Proportional to 381,507.50, 572,363.31 and 132,189.50

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Solution

The fourth proportional to 381,507.50, 572,363.31 and 132,189.50 is: 198,319.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,507.50 : 572,363.31 = 132,189.50 : x
  2. Step 2: Convert to fraction form
    381,507.50/572,363.31 = 132,189.50/x
  3. Step 3: Cross multiply
    381,507.50x = 572,363.31 × 132,189.50
  4. Step 4: Simplify right side
    381,507.50x = 75,660,419,767.25
  5. Step 5: Solve for x
    x = 75,660,419,767.25/381,507.50
  6. Step 6: Final answer
    x = 198,319.61

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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.