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Finding the Fourth Proportional to 429,149.97, 643,469.49 and 144,770.56

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Solution

The fourth proportional to 429,149.97, 643,469.49 and 144,770.56 is: 217,069.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,149.97 : 643,469.49 = 144,770.56 : x
  2. Step 2: Convert to fraction form
    429,149.97/643,469.49 = 144,770.56/x
  3. Step 3: Cross multiply
    429,149.97x = 643,469.49 × 144,770.56
  4. Step 4: Simplify right side
    429,149.97x = 93,155,436,801.54
  5. Step 5: Solve for x
    x = 93,155,436,801.54/429,149.97
  6. Step 6: Final answer
    x = 217,069.66

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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.