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Finding the Fourth Proportional to 433,387.92, 649,655.40 and 253,244.72

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Solution

The fourth proportional to 433,387.92, 649,655.40 and 253,244.72 is: 379,617.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,387.92 : 649,655.40 = 253,244.72 : x
  2. Step 2: Convert to fraction form
    433,387.92/649,655.40 = 253,244.72/x
  3. Step 3: Cross multiply
    433,387.92x = 649,655.40 × 253,244.72
  4. Step 4: Simplify right side
    433,387.92x = 164,521,799,869.49
  5. Step 5: Solve for x
    x = 164,521,799,869.49/433,387.92
  6. Step 6: Final answer
    x = 379,617.87

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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.