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Finding the Fourth Proportional to 432,387.46, 648,979.87 and 219,304.90

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Solution

The fourth proportional to 432,387.46, 648,979.87 and 219,304.90 is: 329,159.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,387.46 : 648,979.87 = 219,304.90 : x
  2. Step 2: Convert to fraction form
    432,387.46/648,979.87 = 219,304.90/x
  3. Step 3: Cross multiply
    432,387.46x = 648,979.87 × 219,304.90
  4. Step 4: Simplify right side
    432,387.46x = 142,324,465,492.36
  5. Step 5: Solve for x
    x = 142,324,465,492.36/432,387.46
  6. Step 6: Final answer
    x = 329,159.56

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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.