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Finding the Fourth Proportional to 432,980.17, 649,576.15 and 305,145.88

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Solution

The fourth proportional to 432,980.17, 649,576.15 and 305,145.88 is: 457,793.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,980.17 : 649,576.15 = 305,145.88 : x
  2. Step 2: Convert to fraction form
    432,980.17/649,576.15 = 305,145.88/x
  3. Step 3: Cross multiply
    432,980.17x = 649,576.15 × 305,145.88
  4. Step 4: Simplify right side
    432,980.17x = 198,215,488,902.27
  5. Step 5: Solve for x
    x = 198,215,488,902.27/432,980.17
  6. Step 6: Final answer
    x = 457,793.46

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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.