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Finding the Fourth Proportional to 381,393.11, 572,071.11 and 141,553.73

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Solution

The fourth proportional to 381,393.11, 572,071.11 and 141,553.73 is: 212,323.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,393.11 : 572,071.11 = 141,553.73 : x
  2. Step 2: Convert to fraction form
    381,393.11/572,071.11 = 141,553.73/x
  3. Step 3: Cross multiply
    381,393.11x = 572,071.11 × 141,553.73
  4. Step 4: Simplify right side
    381,393.11x = 80,978,799,445.74
  5. Step 5: Solve for x
    x = 80,978,799,445.74/381,393.11
  6. Step 6: Final answer
    x = 212,323.71

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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.