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Finding the Fourth Proportional to 279,493.80, 419,240.70 and 259,810.80

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Solution

The fourth proportional to 279,493.80, 419,240.70 and 259,810.80 is: 389,716.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,493.80 : 419,240.70 = 259,810.80 : x
  2. Step 2: Convert to fraction form
    279,493.80/419,240.70 = 259,810.80/x
  3. Step 3: Cross multiply
    279,493.80x = 419,240.70 × 259,810.80
  4. Step 4: Simplify right side
    279,493.80x = 108,923,261,659.56
  5. Step 5: Solve for x
    x = 108,923,261,659.56/279,493.80
  6. Step 6: Final answer
    x = 389,716.20

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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.