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Finding the Fourth Proportional to 279,964.26, 419,860.26 and 80,231.10

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Solution

The fourth proportional to 279,964.26, 419,860.26 and 80,231.10 is: 120,321.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,964.26 : 419,860.26 = 80,231.10 : x
  2. Step 2: Convert to fraction form
    279,964.26/419,860.26 = 80,231.10/x
  3. Step 3: Cross multiply
    279,964.26x = 419,860.26 × 80,231.10
  4. Step 4: Simplify right side
    279,964.26x = 33,685,850,506.09
  5. Step 5: Solve for x
    x = 33,685,850,506.09/279,964.26
  6. Step 6: Final answer
    x = 120,321.97

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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.