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Finding the Fourth Proportional to 527,580.27, 728,061.42 and 285,862.77

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Solution

The fourth proportional to 527,580.27, 728,061.42 and 285,862.77 is: 394,490.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,580.27 : 728,061.42 = 285,862.77 : x
  2. Step 2: Convert to fraction form
    527,580.27/728,061.42 = 285,862.77/x
  3. Step 3: Cross multiply
    527,580.27x = 728,061.42 × 285,862.77
  4. Step 4: Simplify right side
    527,580.27x = 208,125,654,251.33
  5. Step 5: Solve for x
    x = 208,125,654,251.33/527,580.27
  6. Step 6: Final answer
    x = 394,490.97

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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.