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Finding the Fourth Proportional to 278,842.40, 418,276.56 and 91,855.52

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Solution

The fourth proportional to 278,842.40, 418,276.56 and 91,855.52 is: 137,787.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,842.40 : 418,276.56 = 91,855.52 : x
  2. Step 2: Convert to fraction form
    278,842.40/418,276.56 = 91,855.52/x
  3. Step 3: Cross multiply
    278,842.40x = 418,276.56 × 91,855.52
  4. Step 4: Simplify right side
    278,842.40x = 38,421,010,922.61
  5. Step 5: Solve for x
    x = 38,421,010,922.61/278,842.40
  6. Step 6: Final answer
    x = 137,787.55

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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.