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Finding the Fourth Proportional to 279,616.95, 419,394.03 and 77,241.84

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Solution

The fourth proportional to 279,616.95, 419,394.03 and 77,241.84 is: 115,854.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,616.95 : 419,394.03 = 77,241.84 : x
  2. Step 2: Convert to fraction form
    279,616.95/419,394.03 = 77,241.84/x
  3. Step 3: Cross multiply
    279,616.95x = 419,394.03 × 77,241.84
  4. Step 4: Simplify right side
    279,616.95x = 32,394,766,562.22
  5. Step 5: Solve for x
    x = 32,394,766,562.22/279,616.95
  6. Step 6: Final answer
    x = 115,854.09

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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.