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Finding the Fourth Proportional to 278,753.36, 418,194.84 and 91,766.48

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Solution

The fourth proportional to 278,753.36, 418,194.84 and 91,766.48 is: 137,671.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,753.36 : 418,194.84 = 91,766.48 : x
  2. Step 2: Convert to fraction form
    278,753.36/418,194.84 = 91,766.48/x
  3. Step 3: Cross multiply
    278,753.36x = 418,194.84 × 91,766.48
  4. Step 4: Simplify right side
    278,753.36x = 38,376,268,420.96
  5. Step 5: Solve for x
    x = 38,376,268,420.96/278,753.36
  6. Step 6: Final answer
    x = 137,671.05

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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.