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Finding the Fourth Proportional to 432,814.60, 649,221.90 and 327,838.60

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Solution

The fourth proportional to 432,814.60, 649,221.90 and 327,838.60 is: 491,757.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,814.60 : 649,221.90 = 327,838.60 : x
  2. Step 2: Convert to fraction form
    432,814.60/649,221.90 = 327,838.60/x
  3. Step 3: Cross multiply
    432,814.60x = 649,221.90 × 327,838.60
  4. Step 4: Simplify right side
    432,814.60x = 212,839,998,785.34
  5. Step 5: Solve for x
    x = 212,839,998,785.34/432,814.60
  6. Step 6: Final answer
    x = 491,757.90

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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.