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Finding the Fourth Proportional to 527,264.70, 727,616.29 and 285,545.31

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Solution

The fourth proportional to 527,264.70, 727,616.29 and 285,545.31 is: 394,047.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,264.70 : 727,616.29 = 285,545.31 : x
  2. Step 2: Convert to fraction form
    527,264.70/727,616.29 = 285,545.31/x
  3. Step 3: Cross multiply
    527,264.70x = 727,616.29 × 285,545.31
  4. Step 4: Simplify right side
    527,264.70x = 207,767,419,089.10
  5. Step 5: Solve for x
    x = 207,767,419,089.10/527,264.70
  6. Step 6: Final answer
    x = 394,047.66

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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.