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Finding the Fourth Proportional to 429,432.60, 644,221.80 and 129,910.80

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Solution

The fourth proportional to 429,432.60, 644,221.80 and 129,910.80 is: 194,888.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,432.60 : 644,221.80 = 129,910.80 : x
  2. Step 2: Convert to fraction form
    429,432.60/644,221.80 = 129,910.80/x
  3. Step 3: Cross multiply
    429,432.60x = 644,221.80 × 129,910.80
  4. Step 4: Simplify right side
    429,432.60x = 83,691,369,415.44
  5. Step 5: Solve for x
    x = 83,691,369,415.44/429,432.60
  6. Step 6: Final answer
    x = 194,888.25

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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.