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Finding the Fourth Proportional to 279,771.42, 419,716.78 and 90,242.42

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Solution

The fourth proportional to 279,771.42, 419,716.78 and 90,242.42 is: 135,382.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,771.42 : 419,716.78 = 90,242.42 : x
  2. Step 2: Convert to fraction form
    279,771.42/419,716.78 = 90,242.42/x
  3. Step 3: Cross multiply
    279,771.42x = 419,716.78 × 90,242.42
  4. Step 4: Simplify right side
    279,771.42x = 37,876,257,941.81
  5. Step 5: Solve for x
    x = 37,876,257,941.81/279,771.42
  6. Step 6: Final answer
    x = 135,382.87

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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.