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Finding the Fourth Proportional to 429,393.12, 644,190.82 and 129,876.18

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Solution

The fourth proportional to 429,393.12, 644,190.82 and 129,876.18 is: 194,844.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,393.12 : 644,190.82 = 129,876.18 : x
  2. Step 2: Convert to fraction form
    429,393.12/644,190.82 = 129,876.18/x
  3. Step 3: Cross multiply
    429,393.12x = 644,190.82 × 129,876.18
  4. Step 4: Simplify right side
    429,393.12x = 83,665,039,671.71
  5. Step 5: Solve for x
    x = 83,665,039,671.71/429,393.12
  6. Step 6: Final answer
    x = 194,844.86

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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.