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Finding the Fourth Proportional to 429,456.60, 644,257.80 and 129,934.80

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Solution

The fourth proportional to 429,456.60, 644,257.80 and 129,934.80 is: 194,924.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,456.60 : 644,257.80 = 129,934.80 : x
  2. Step 2: Convert to fraction form
    429,456.60/644,257.80 = 129,934.80/x
  3. Step 3: Cross multiply
    429,456.60x = 644,257.80 × 129,934.80
  4. Step 4: Simplify right side
    429,456.60x = 83,711,508,391.44
  5. Step 5: Solve for x
    x = 83,711,508,391.44/429,456.60
  6. Step 6: Final answer
    x = 194,924.26

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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.