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Finding the Fourth Proportional to 432,951.90, 649,442.70 and 133,430.10

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Solution

The fourth proportional to 432,951.90, 649,442.70 and 133,430.10 is: 200,149.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,951.90 : 649,442.70 = 133,430.10 : x
  2. Step 2: Convert to fraction form
    432,951.90/649,442.70 = 133,430.10/x
  3. Step 3: Cross multiply
    432,951.90x = 649,442.70 × 133,430.10
  4. Step 4: Simplify right side
    432,951.90x = 86,655,204,405.27
  5. Step 5: Solve for x
    x = 86,655,204,405.27/432,951.90
  6. Step 6: Final answer
    x = 200,149.73

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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.