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Finding the Fourth Proportional to 429,032.43, 643,348.44 and 159,149.70

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Solution

The fourth proportional to 429,032.43, 643,348.44 and 159,149.70 is: 238,650.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,032.43 : 643,348.44 = 159,149.70 : x
  2. Step 2: Convert to fraction form
    429,032.43/643,348.44 = 159,149.70/x
  3. Step 3: Cross multiply
    429,032.43x = 643,348.44 × 159,149.70
  4. Step 4: Simplify right side
    429,032.43x = 102,388,711,221.47
  5. Step 5: Solve for x
    x = 102,388,711,221.47/429,032.43
  6. Step 6: Final answer
    x = 238,650.28

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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.