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Finding the Fourth Proportional to 432,856.85, 649,317.87 and 129,227.00

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Solution

The fourth proportional to 432,856.85, 649,317.87 and 129,227.00 is: 193,850.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,856.85 : 649,317.87 = 129,227.00 : x
  2. Step 2: Convert to fraction form
    432,856.85/649,317.87 = 129,227.00/x
  3. Step 3: Cross multiply
    432,856.85x = 649,317.87 × 129,227.00
  4. Step 4: Simplify right side
    432,856.85x = 83,909,397,139.90
  5. Step 5: Solve for x
    x = 83,909,397,139.90/432,856.85
  6. Step 6: Final answer
    x = 193,850.23

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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.