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Finding the Fourth Proportional to 381,892.01, 527,027.65 and 212,126.13

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Solution

The fourth proportional to 381,892.01, 527,027.65 and 212,126.13 is: 292,743.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,892.01 : 527,027.65 = 212,126.13 : x
  2. Step 2: Convert to fraction form
    381,892.01/527,027.65 = 212,126.13/x
  3. Step 3: Cross multiply
    381,892.01x = 527,027.65 × 212,126.13
  4. Step 4: Simplify right side
    381,892.01x = 111,796,335,267.18
  5. Step 5: Solve for x
    x = 111,796,335,267.18/381,892.01
  6. Step 6: Final answer
    x = 292,743.32

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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.