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Finding the Fourth Proportional to 278,808.20, 418,220.49 and 68,446.13

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Solution

The fourth proportional to 278,808.20, 418,220.49 and 68,446.13 is: 102,671.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,808.20 : 418,220.49 = 68,446.13 : x
  2. Step 2: Convert to fraction form
    278,808.20/418,220.49 = 68,446.13/x
  3. Step 3: Cross multiply
    278,808.20x = 418,220.49 × 68,446.13
  4. Step 4: Simplify right side
    278,808.20x = 28,625,571,936.10
  5. Step 5: Solve for x
    x = 28,625,571,936.10/278,808.20
  6. Step 6: Final answer
    x = 102,671.20

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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.