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Finding the Fourth Proportional to 429,390.86, 644,187.44 and 129,873.92

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Solution

The fourth proportional to 429,390.86, 644,187.44 and 129,873.92 is: 194,841.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,390.86 : 644,187.44 = 129,873.92 : x
  2. Step 2: Convert to fraction form
    429,390.86/644,187.44 = 129,873.92/x
  3. Step 3: Cross multiply
    429,390.86x = 644,187.44 × 129,873.92
  4. Step 4: Simplify right side
    429,390.86x = 83,663,149,982.72
  5. Step 5: Solve for x
    x = 83,663,149,982.72/429,390.86
  6. Step 6: Final answer
    x = 194,841.48

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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.