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Finding the Fourth Proportional to 278,925.80, 418,347.66 and 91,913

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Solution

The fourth proportional to 278,925.80, 418,347.66 and 91,913 is: 137,855.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,925.80 : 418,347.66 = 91,913 : x
  2. Step 2: Convert to fraction form
    278,925.80/418,347.66 = 91,913/x
  3. Step 3: Cross multiply
    278,925.80x = 418,347.66 × 91,913
  4. Step 4: Simplify right side
    278,925.80x = 38,451,588,473.58
  5. Step 5: Solve for x
    x = 38,451,588,473.58/278,925.80
  6. Step 6: Final answer
    x = 137,855.98

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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.