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Finding the Fourth Proportional to 432,689.88, 649,096.34 and 133,195.44

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Solution

The fourth proportional to 432,689.88, 649,096.34 and 133,195.44 is: 199,812.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,689.88 : 649,096.34 = 133,195.44 : x
  2. Step 2: Convert to fraction form
    432,689.88/649,096.34 = 133,195.44/x
  3. Step 3: Cross multiply
    432,689.88x = 649,096.34 × 133,195.44
  4. Step 4: Simplify right side
    432,689.88x = 86,456,672,608.69
  5. Step 5: Solve for x
    x = 86,456,672,608.69/432,689.88
  6. Step 6: Final answer
    x = 199,812.10

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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.