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Finding the Fourth Proportional to 429,806.52, 644,672.61 and 145,490.97

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Solution

The fourth proportional to 429,806.52, 644,672.61 and 145,490.97 is: 218,223.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,806.52 : 644,672.61 = 145,490.97 : x
  2. Step 2: Convert to fraction form
    429,806.52/644,672.61 = 145,490.97/x
  3. Step 3: Cross multiply
    429,806.52x = 644,672.61 × 145,490.97
  4. Step 4: Simplify right side
    429,806.52x = 93,794,043,361.33
  5. Step 5: Solve for x
    x = 93,794,043,361.33/429,806.52
  6. Step 6: Final answer
    x = 218,223.87

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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.