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Finding the Fourth Proportional to 429,456.30, 643,982.10 and 159,397.32

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Solution

The fourth proportional to 429,456.30, 643,982.10 and 159,397.32 is: 239,020.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,456.30 : 643,982.10 = 159,397.32 : x
  2. Step 2: Convert to fraction form
    429,456.30/643,982.10 = 159,397.32/x
  3. Step 3: Cross multiply
    429,456.30x = 643,982.10 × 159,397.32
  4. Step 4: Simplify right side
    429,456.30x = 102,649,020,867.97
  5. Step 5: Solve for x
    x = 102,649,020,867.97/429,456.30
  6. Step 6: Final answer
    x = 239,020.88

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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.