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Finding the Fourth Proportional to 429,639.89, 644,755.68 and 149,157.14

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Solution

The fourth proportional to 429,639.89, 644,755.68 and 149,157.14 is: 223,838.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,639.89 : 644,755.68 = 149,157.14 : x
  2. Step 2: Convert to fraction form
    429,639.89/644,755.68 = 149,157.14/x
  3. Step 3: Cross multiply
    429,639.89x = 644,755.68 × 149,157.14
  4. Step 4: Simplify right side
    429,639.89x = 96,169,913,227.56
  5. Step 5: Solve for x
    x = 96,169,913,227.56/429,639.89
  6. Step 6: Final answer
    x = 223,838.42

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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.