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Finding the Fourth Proportional to 422,215.74, 633,375.45 and 137,934.90

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Solution

The fourth proportional to 422,215.74, 633,375.45 and 137,934.90 is: 206,919.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,215.74 : 633,375.45 = 137,934.90 : x
  2. Step 2: Convert to fraction form
    422,215.74/633,375.45 = 137,934.90/x
  3. Step 3: Cross multiply
    422,215.74x = 633,375.45 × 137,934.90
  4. Step 4: Simplify right side
    422,215.74x = 87,364,579,358.21
  5. Step 5: Solve for x
    x = 87,364,579,358.21/422,215.74
  6. Step 6: Final answer
    x = 206,919.29

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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.