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Finding the Fourth Proportional to 278,843.40, 418,278.06 and 91,856.52

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Solution

The fourth proportional to 278,843.40, 418,278.06 and 91,856.52 is: 137,789.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,843.40 : 418,278.06 = 91,856.52 : x
  2. Step 2: Convert to fraction form
    278,843.40/418,278.06 = 91,856.52/x
  3. Step 3: Cross multiply
    278,843.40x = 418,278.06 × 91,856.52
  4. Step 4: Simplify right side
    278,843.40x = 38,421,566,983.95
  5. Step 5: Solve for x
    x = 38,421,566,983.95/278,843.40
  6. Step 6: Final answer
    x = 137,789.05

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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.