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Finding the Fourth Proportional to 527,098.70, 727,387.35 and 285,379.31

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Solution

The fourth proportional to 527,098.70, 727,387.35 and 285,379.31 is: 393,818.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,098.70 : 727,387.35 = 285,379.31 : x
  2. Step 2: Convert to fraction form
    527,098.70/727,387.35 = 285,379.31/x
  3. Step 3: Cross multiply
    527,098.70x = 727,387.35 × 285,379.31
  4. Step 4: Simplify right side
    527,098.70x = 207,581,300,045.73
  5. Step 5: Solve for x
    x = 207,581,300,045.73/527,098.70
  6. Step 6: Final answer
    x = 393,818.65

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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.