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Finding the Fourth Proportional to 422,253.10, 633,398.60 and 137,960.97

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Solution

The fourth proportional to 422,253.10, 633,398.60 and 137,960.97 is: 206,947.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,253.10 : 633,398.60 = 137,960.97 : x
  2. Step 2: Convert to fraction form
    422,253.10/633,398.60 = 137,960.97/x
  3. Step 3: Cross multiply
    422,253.10x = 633,398.60 × 137,960.97
  4. Step 4: Simplify right side
    422,253.10x = 87,384,286,203.14
  5. Step 5: Solve for x
    x = 87,384,286,203.14/422,253.10
  6. Step 6: Final answer
    x = 206,947.65

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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.