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Finding the Fourth Proportional to 396,299.25, 594,324.09 and 129,997.89

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Solution

The fourth proportional to 396,299.25, 594,324.09 and 129,997.89 is: 194,955.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,299.25 : 594,324.09 = 129,997.89 : x
  2. Step 2: Convert to fraction form
    396,299.25/594,324.09 = 129,997.89/x
  3. Step 3: Cross multiply
    396,299.25x = 594,324.09 × 129,997.89
  4. Step 4: Simplify right side
    396,299.25x = 77,260,877,676.17
  5. Step 5: Solve for x
    x = 77,260,877,676.17/396,299.25
  6. Step 6: Final answer
    x = 194,955.90

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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.