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Finding the Fourth Proportional to 432,857.85, 649,319.37 and 129,228

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Solution

The fourth proportional to 432,857.85, 649,319.37 and 129,228 is: 193,851.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,857.85 : 649,319.37 = 129,228 : x
  2. Step 2: Convert to fraction form
    432,857.85/649,319.37 = 129,228/x
  3. Step 3: Cross multiply
    432,857.85x = 649,319.37 × 129,228
  4. Step 4: Simplify right side
    432,857.85x = 83,910,243,546.36
  5. Step 5: Solve for x
    x = 83,910,243,546.36/432,857.85
  6. Step 6: Final answer
    x = 193,851.73

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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.