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Finding the Fourth Proportional to 279,474, 419,225.76 and 79,778.88

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Solution

The fourth proportional to 279,474, 419,225.76 and 79,778.88 is: 119,672.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,474 : 419,225.76 = 79,778.88 : x
  2. Step 2: Convert to fraction form
    279,474/419,225.76 = 79,778.88/x
  3. Step 3: Cross multiply
    279,474x = 419,225.76 × 79,778.88
  4. Step 4: Simplify right side
    279,474x = 33,445,361,599.95
  5. Step 5: Solve for x
    x = 33,445,361,599.95/279,474
  6. Step 6: Final answer
    x = 119,672.53

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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.