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Finding the Fourth Proportional to 381,893.13, 527,029.20 and 212,127.26

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Solution

The fourth proportional to 381,893.13, 527,029.20 and 212,127.26 is: 292,744.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,893.13 : 527,029.20 = 212,127.26 : x
  2. Step 2: Convert to fraction form
    381,893.13/527,029.20 = 212,127.26/x
  3. Step 3: Cross multiply
    381,893.13x = 527,029.20 × 212,127.26
  4. Step 4: Simplify right side
    381,893.13x = 111,797,257,500.85
  5. Step 5: Solve for x
    x = 111,797,257,500.85/381,893.13
  6. Step 6: Final answer
    x = 292,744.88

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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.