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Finding the Fourth Proportional to 278,836.16, 418,255.65 and 68,474.16

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Solution

The fourth proportional to 278,836.16, 418,255.65 and 68,474.16 is: 102,711.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,836.16 : 418,255.65 = 68,474.16 : x
  2. Step 2: Convert to fraction form
    278,836.16/418,255.65 = 68,474.16/x
  3. Step 3: Cross multiply
    278,836.16x = 418,255.65 × 68,474.16
  4. Step 4: Simplify right side
    278,836.16x = 28,639,704,299.00
  5. Step 5: Solve for x
    x = 28,639,704,299.00/278,836.16
  6. Step 6: Final answer
    x = 102,711.59

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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.