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Finding the Fourth Proportional to 396,207.32, 594,308.82 and 129,965.72

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Solution

The fourth proportional to 396,207.32, 594,308.82 and 129,965.72 is: 194,947.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,207.32 : 594,308.82 = 129,965.72 : x
  2. Step 2: Convert to fraction form
    396,207.32/594,308.82 = 129,965.72/x
  3. Step 3: Cross multiply
    396,207.32x = 594,308.82 × 129,965.72
  4. Step 4: Simplify right side
    396,207.32x = 77,239,773,693.65
  5. Step 5: Solve for x
    x = 77,239,773,693.65/396,207.32
  6. Step 6: Final answer
    x = 194,947.87

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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.