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Finding the Fourth Proportional to 278,841.40, 418,275.06 and 91,854.52

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Solution

The fourth proportional to 278,841.40, 418,275.06 and 91,854.52 is: 137,786.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,841.40 : 418,275.06 = 91,854.52 : x
  2. Step 2: Convert to fraction form
    278,841.40/418,275.06 = 91,854.52/x
  3. Step 3: Cross multiply
    278,841.40x = 418,275.06 × 91,854.52
  4. Step 4: Simplify right side
    278,841.40x = 38,420,454,864.27
  5. Step 5: Solve for x
    x = 38,420,454,864.27/278,841.40
  6. Step 6: Final answer
    x = 137,786.05

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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.