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Finding the Fourth Proportional to 422,493, 633,839.21 and 138,182.48

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Solution

The fourth proportional to 422,493, 633,839.21 and 138,182.48 is: 207,306.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,493 : 633,839.21 = 138,182.48 : x
  2. Step 2: Convert to fraction form
    422,493/633,839.21 = 138,182.48/x
  3. Step 3: Cross multiply
    422,493x = 633,839.21 × 138,182.48
  4. Step 4: Simplify right side
    422,493x = 87,585,473,959.04
  5. Step 5: Solve for x
    x = 87,585,473,959.04/422,493
  6. Step 6: Final answer
    x = 207,306.33

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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.