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Finding the Fourth Proportional to 396,141.30, 594,294.71 and 129,880.80

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Solution

The fourth proportional to 396,141.30, 594,294.71 and 129,880.80 is: 194,848.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,141.30 : 594,294.71 = 129,880.80 : x
  2. Step 2: Convert to fraction form
    396,141.30/594,294.71 = 129,880.80/x
  3. Step 3: Cross multiply
    396,141.30x = 594,294.71 × 129,880.80
  4. Step 4: Simplify right side
    396,141.30x = 77,187,471,721.16
  5. Step 5: Solve for x
    x = 77,187,471,721.16/396,141.30
  6. Step 6: Final answer
    x = 194,848.33

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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.