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Finding the Fourth Proportional to 422,375.72, 633,431.09 and 138,001.49

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Solution

The fourth proportional to 422,375.72, 633,431.09 and 138,001.49 is: 206,958.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,375.72 : 633,431.09 = 138,001.49 : x
  2. Step 2: Convert to fraction form
    422,375.72/633,431.09 = 138,001.49/x
  3. Step 3: Cross multiply
    422,375.72x = 633,431.09 × 138,001.49
  4. Step 4: Simplify right side
    422,375.72x = 87,414,430,375.16
  5. Step 5: Solve for x
    x = 87,414,430,375.16/422,375.72
  6. Step 6: Final answer
    x = 206,958.94

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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.