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Finding the Fourth Proportional to 422,377.98, 633,434.45 and 138,003.74

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Solution

The fourth proportional to 422,377.98, 633,434.45 and 138,003.74 is: 206,962.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,377.98 : 633,434.45 = 138,003.74 : x
  2. Step 2: Convert to fraction form
    422,377.98/633,434.45 = 138,003.74/x
  3. Step 3: Cross multiply
    422,377.98x = 633,434.45 × 138,003.74
  4. Step 4: Simplify right side
    422,377.98x = 87,416,319,287.65
  5. Step 5: Solve for x
    x = 87,416,319,287.65/422,377.98
  6. Step 6: Final answer
    x = 206,962.30

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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.