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Finding the Fourth Proportional to 381,973.92, 527,123.87 and 209,902.98

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Solution

The fourth proportional to 381,973.92, 527,123.87 and 209,902.98 is: 289,666.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,973.92 : 527,123.87 = 209,902.98 : x
  2. Step 2: Convert to fraction form
    381,973.92/527,123.87 = 209,902.98/x
  3. Step 3: Cross multiply
    381,973.92x = 527,123.87 × 209,902.98
  4. Step 4: Simplify right side
    381,973.92x = 110,644,871,142.13
  5. Step 5: Solve for x
    x = 110,644,871,142.13/381,973.92
  6. Step 6: Final answer
    x = 289,666.04

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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.