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Finding the Fourth Proportional to 279,967.32, 419,864.70 and 80,234.16

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Solution

The fourth proportional to 279,967.32, 419,864.70 and 80,234.16 is: 120,326.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,967.32 : 419,864.70 = 80,234.16 : x
  2. Step 2: Convert to fraction form
    279,967.32/419,864.70 = 80,234.16/x
  3. Step 3: Cross multiply
    279,967.32x = 419,864.70 × 80,234.16
  4. Step 4: Simplify right side
    279,967.32x = 33,687,491,518.15
  5. Step 5: Solve for x
    x = 33,687,491,518.15/279,967.32
  6. Step 6: Final answer
    x = 120,326.51

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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.