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Finding the Fourth Proportional to 381,686.40, 527,644.80 and 291,484.80

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Solution

The fourth proportional to 381,686.40, 527,644.80 and 291,484.80 is: 402,949.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,686.40 : 527,644.80 = 291,484.80 : x
  2. Step 2: Convert to fraction form
    381,686.40/527,644.80 = 291,484.80/x
  3. Step 3: Cross multiply
    381,686.40x = 527,644.80 × 291,484.80
  4. Step 4: Simplify right side
    381,686.40x = 153,800,438,999.04
  5. Step 5: Solve for x
    x = 153,800,438,999.04/381,686.40
  6. Step 6: Final answer
    x = 402,949.75

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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.