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Finding the Fourth Proportional to 386,125.76, 532,874.88 and 216,414.40

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Solution

The fourth proportional to 386,125.76, 532,874.88 and 216,414.40 is: 298,663.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,125.76 : 532,874.88 = 216,414.40 : x
  2. Step 2: Convert to fraction form
    386,125.76/532,874.88 = 216,414.40/x
  3. Step 3: Cross multiply
    386,125.76x = 532,874.88 × 216,414.40
  4. Step 4: Simplify right side
    386,125.76x = 115,321,797,430.27
  5. Step 5: Solve for x
    x = 115,321,797,430.27/386,125.76
  6. Step 6: Final answer
    x = 298,663.83

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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.