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Finding the Fourth Proportional to 429,634.88, 644,748.17 and 149,152.13

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Solution

The fourth proportional to 429,634.88, 644,748.17 and 149,152.13 is: 223,830.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,634.88 : 644,748.17 = 149,152.13 : x
  2. Step 2: Convert to fraction form
    429,634.88/644,748.17 = 149,152.13/x
  3. Step 3: Cross multiply
    429,634.88x = 644,748.17 × 149,152.13
  4. Step 4: Simplify right side
    429,634.88x = 96,165,562,869.10
  5. Step 5: Solve for x
    x = 96,165,562,869.10/429,634.88
  6. Step 6: Final answer
    x = 223,830.90

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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.