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Finding the Fourth Proportional to 381,902.43, 527,010.62 and 212,147.31

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Solution

The fourth proportional to 381,902.43, 527,010.62 and 212,147.31 is: 292,755.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,902.43 : 527,010.62 = 212,147.31 : x
  2. Step 2: Convert to fraction form
    381,902.43/527,010.62 = 212,147.31/x
  3. Step 3: Cross multiply
    381,902.43x = 527,010.62 × 212,147.31
  4. Step 4: Simplify right side
    381,902.43x = 111,803,884,313.70
  5. Step 5: Solve for x
    x = 111,803,884,313.70/381,902.43
  6. Step 6: Final answer
    x = 292,755.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.