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Finding the Fourth Proportional to 279,958.26, 419,851.26 and 80,225.10

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Solution

The fourth proportional to 279,958.26, 419,851.26 and 80,225.10 is: 120,312.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,958.26 : 419,851.26 = 80,225.10 : x
  2. Step 2: Convert to fraction form
    279,958.26/419,851.26 = 80,225.10/x
  3. Step 3: Cross multiply
    279,958.26x = 419,851.26 × 80,225.10
  4. Step 4: Simplify right side
    279,958.26x = 33,682,609,318.63
  5. Step 5: Solve for x
    x = 33,682,609,318.63/279,958.26
  6. Step 6: Final answer
    x = 120,312.97

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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.