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Finding the Fourth Proportional to 429,446.10, 644,168.72 and 109,597.97

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Solution

The fourth proportional to 429,446.10, 644,168.72 and 109,597.97 is: 164,396.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,446.10 : 644,168.72 = 109,597.97 : x
  2. Step 2: Convert to fraction form
    429,446.10/644,168.72 = 109,597.97/x
  3. Step 3: Cross multiply
    429,446.10x = 644,168.72 × 109,597.97
  4. Step 4: Simplify right side
    429,446.10x = 70,599,586,454.47
  5. Step 5: Solve for x
    x = 70,599,586,454.47/429,446.10
  6. Step 6: Final answer
    x = 164,396.85

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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.