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Finding the Fourth Proportional to 422,414.12, 633,488.55 and 138,039.83

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Solution

The fourth proportional to 422,414.12, 633,488.55 and 138,039.83 is: 207,016.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,414.12 : 633,488.55 = 138,039.83 : x
  2. Step 2: Convert to fraction form
    422,414.12/633,488.55 = 138,039.83/x
  3. Step 3: Cross multiply
    422,414.12x = 633,488.55 × 138,039.83
  4. Step 4: Simplify right side
    422,414.12x = 87,446,650,439.44
  5. Step 5: Solve for x
    x = 87,446,650,439.44/422,414.12
  6. Step 6: Final answer
    x = 207,016.40

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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.