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Finding the Fourth Proportional to 427,732.38, 641,306.94 and 216,963.90

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Solution

The fourth proportional to 427,732.38, 641,306.94 and 216,963.90 is: 325,297.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,732.38 : 641,306.94 = 216,963.90 : x
  2. Step 2: Convert to fraction form
    427,732.38/641,306.94 = 216,963.90/x
  3. Step 3: Cross multiply
    427,732.38x = 641,306.94 × 216,963.90
  4. Step 4: Simplify right side
    427,732.38x = 139,140,454,799.47
  5. Step 5: Solve for x
    x = 139,140,454,799.47/427,732.38
  6. Step 6: Final answer
    x = 325,297.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.