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Finding the Fourth Proportional to 396,265.20, 594,469.80 and 129,951.60

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Solution

The fourth proportional to 396,265.20, 594,469.80 and 129,951.60 is: 194,951.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,265.20 : 594,469.80 = 129,951.60 : x
  2. Step 2: Convert to fraction form
    396,265.20/594,469.80 = 129,951.60/x
  3. Step 3: Cross multiply
    396,265.20x = 594,469.80 × 129,951.60
  4. Step 4: Simplify right side
    396,265.20x = 77,252,301,661.68
  5. Step 5: Solve for x
    x = 77,252,301,661.68/396,265.20
  6. Step 6: Final answer
    x = 194,951.01

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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.