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Finding the Fourth Proportional to 279,955.78, 419,810.12 and 80,230.84

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Solution

The fourth proportional to 279,955.78, 419,810.12 and 80,230.84 is: 120,310.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,955.78 : 419,810.12 = 80,230.84 : x
  2. Step 2: Convert to fraction form
    279,955.78/419,810.12 = 80,230.84/x
  3. Step 3: Cross multiply
    279,955.78x = 419,810.12 × 80,230.84
  4. Step 4: Simplify right side
    279,955.78x = 33,681,718,568.10
  5. Step 5: Solve for x
    x = 33,681,718,568.10/279,955.78
  6. Step 6: Final answer
    x = 120,310.85

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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.