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Finding the Fourth Proportional to 278,925.60, 418,324.80 and 79,241.76

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Solution

The fourth proportional to 278,925.60, 418,324.80 and 79,241.76 is: 118,844.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,925.60 : 418,324.80 = 79,241.76 : x
  2. Step 2: Convert to fraction form
    278,925.60/418,324.80 = 79,241.76/x
  3. Step 3: Cross multiply
    278,925.60x = 418,324.80 × 79,241.76
  4. Step 4: Simplify right side
    278,925.60x = 33,148,793,403.65
  5. Step 5: Solve for x
    x = 33,148,793,403.65/278,925.60
  6. Step 6: Final answer
    x = 118,844.57

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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.