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Finding the Fourth Proportional to 361,414.30, 541,732.65 and 136,687.90

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Solution

The fourth proportional to 361,414.30, 541,732.65 and 136,687.90 is: 204,884.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,414.30 : 541,732.65 = 136,687.90 : x
  2. Step 2: Convert to fraction form
    361,414.30/541,732.65 = 136,687.90/x
  3. Step 3: Cross multiply
    361,414.30x = 541,732.65 × 136,687.90
  4. Step 4: Simplify right side
    361,414.30x = 74,048,298,289.94
  5. Step 5: Solve for x
    x = 74,048,298,289.94/361,414.30
  6. Step 6: Final answer
    x = 204,884.80

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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.