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Finding the Fourth Proportional to 422,006.89, 633,065.91 and 137,597.56

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Solution

The fourth proportional to 422,006.89, 633,065.91 and 137,597.56 is: 206,414.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,006.89 : 633,065.91 = 137,597.56 : x
  2. Step 2: Convert to fraction form
    422,006.89/633,065.91 = 137,597.56/x
  3. Step 3: Cross multiply
    422,006.89x = 633,065.91 × 137,597.56
  4. Step 4: Simplify right side
    422,006.89x = 87,108,324,535.18
  5. Step 5: Solve for x
    x = 87,108,324,535.18/422,006.89
  6. Step 6: Final answer
    x = 206,414.46

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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.