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Finding the Fourth Proportional to 429,511.95, 644,103.90 and 129,892.95

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Solution

The fourth proportional to 429,511.95, 644,103.90 and 129,892.95 is: 194,789.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,511.95 : 644,103.90 = 129,892.95 : x
  2. Step 2: Convert to fraction form
    429,511.95/644,103.90 = 129,892.95/x
  3. Step 3: Cross multiply
    429,511.95x = 644,103.90 × 129,892.95
  4. Step 4: Simplify right side
    429,511.95x = 83,664,555,677.51
  5. Step 5: Solve for x
    x = 83,664,555,677.51/429,511.95
  6. Step 6: Final answer
    x = 194,789.82

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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.