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Finding the Fourth Proportional to 278,502.81, 417,770.46 and 78,806.49

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Solution

The fourth proportional to 278,502.81, 417,770.46 and 78,806.49 is: 118,214.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,502.81 : 417,770.46 = 78,806.49 : x
  2. Step 2: Convert to fraction form
    278,502.81/417,770.46 = 78,806.49/x
  3. Step 3: Cross multiply
    278,502.81x = 417,770.46 × 78,806.49
  4. Step 4: Simplify right side
    278,502.81x = 32,923,023,578.29
  5. Step 5: Solve for x
    x = 32,923,023,578.29/278,502.81
  6. Step 6: Final answer
    x = 118,214.33

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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.