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Finding the Fourth Proportional to 438,809.28, 658,213.92 and 154,432.86

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Solution

The fourth proportional to 438,809.28, 658,213.92 and 154,432.86 is: 231,649.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,809.28 : 658,213.92 = 154,432.86 : x
  2. Step 2: Convert to fraction form
    438,809.28/658,213.92 = 154,432.86/x
  3. Step 3: Cross multiply
    438,809.28x = 658,213.92 × 154,432.86
  4. Step 4: Simplify right side
    438,809.28x = 101,649,858,157.41
  5. Step 5: Solve for x
    x = 101,649,858,157.41/438,809.28
  6. Step 6: Final answer
    x = 231,649.29

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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.