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Finding the Fourth Proportional to 279,773.42, 419,719.78 and 90,244.42

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Solution

The fourth proportional to 279,773.42, 419,719.78 and 90,244.42 is: 135,385.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,773.42 : 419,719.78 = 90,244.42 : x
  2. Step 2: Convert to fraction form
    279,773.42/419,719.78 = 90,244.42/x
  3. Step 3: Cross multiply
    279,773.42x = 419,719.78 × 90,244.42
  4. Step 4: Simplify right side
    279,773.42x = 37,877,368,108.63
  5. Step 5: Solve for x
    x = 37,877,368,108.63/279,773.42
  6. Step 6: Final answer
    x = 135,385.87

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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.