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Finding the Fourth Proportional to 381,551.76, 572,331.60 and 115,314.48

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Solution

The fourth proportional to 381,551.76, 572,331.60 and 115,314.48 is: 172,972.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,551.76 : 572,331.60 = 115,314.48 : x
  2. Step 2: Convert to fraction form
    381,551.76/572,331.60 = 115,314.48/x
  3. Step 3: Cross multiply
    381,551.76x = 572,331.60 × 115,314.48
  4. Step 4: Simplify right side
    381,551.76x = 65,998,120,841.57
  5. Step 5: Solve for x
    x = 65,998,120,841.57/381,551.76
  6. Step 6: Final answer
    x = 172,972.92

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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.