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Finding the Fourth Proportional to 526,429.24, 726,472.34 and 284,711.80

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Solution

The fourth proportional to 526,429.24, 726,472.34 and 284,711.80 is: 392,902.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,429.24 : 726,472.34 = 284,711.80 : x
  2. Step 2: Convert to fraction form
    526,429.24/726,472.34 = 284,711.80/x
  3. Step 3: Cross multiply
    526,429.24x = 726,472.34 × 284,711.80
  4. Step 4: Simplify right side
    526,429.24x = 206,835,247,571.61
  5. Step 5: Solve for x
    x = 206,835,247,571.61/526,429.24
  6. Step 6: Final answer
    x = 392,902.28

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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.