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Finding the Fourth Proportional to 278,924.80, 418,346.16 and 91,912

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Solution

The fourth proportional to 278,924.80, 418,346.16 and 91,912 is: 137,854.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,924.80 : 418,346.16 = 91,912 : x
  2. Step 2: Convert to fraction form
    278,924.80/418,346.16 = 91,912/x
  3. Step 3: Cross multiply
    278,924.80x = 418,346.16 × 91,912
  4. Step 4: Simplify right side
    278,924.80x = 38,451,032,257.92
  5. Step 5: Solve for x
    x = 38,451,032,257.92/278,924.80
  6. Step 6: Final answer
    x = 137,854.48

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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.