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Finding the Fourth Proportional to 422,414.87, 633,489.67 and 138,040.58

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Solution

The fourth proportional to 422,414.87, 633,489.67 and 138,040.58 is: 207,017.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,414.87 : 633,489.67 = 138,040.58 : x
  2. Step 2: Convert to fraction form
    422,414.87/633,489.67 = 138,040.58/x
  3. Step 3: Cross multiply
    422,414.87x = 633,489.67 × 138,040.58
  4. Step 4: Simplify right side
    422,414.87x = 87,447,282,709.43
  5. Step 5: Solve for x
    x = 87,447,282,709.43/422,414.87
  6. Step 6: Final answer
    x = 207,017.53

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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.