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Finding the Fourth Proportional to 432,884.66, 649,472.79 and 272,774.66

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Solution

The fourth proportional to 432,884.66, 649,472.79 and 272,774.66 is: 409,253.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,884.66 : 649,472.79 = 272,774.66 : x
  2. Step 2: Convert to fraction form
    432,884.66/649,472.79 = 272,774.66/x
  3. Step 3: Cross multiply
    432,884.66x = 649,472.79 × 272,774.66
  4. Step 4: Simplify right side
    432,884.66x = 177,159,719,471.50
  5. Step 5: Solve for x
    x = 177,159,719,471.50/432,884.66
  6. Step 6: Final answer
    x = 409,253.86

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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.