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Finding the Fourth Proportional to 278,810.80, 418,232.20 and 79,115.60

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Solution

The fourth proportional to 278,810.80, 418,232.20 and 79,115.60 is: 118,677.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,810.80 : 418,232.20 = 79,115.60 : x
  2. Step 2: Convert to fraction form
    278,810.80/418,232.20 = 79,115.60/x
  3. Step 3: Cross multiply
    278,810.80x = 418,232.20 × 79,115.60
  4. Step 4: Simplify right side
    278,810.80x = 33,088,691,442.32
  5. Step 5: Solve for x
    x = 33,088,691,442.32/278,810.80
  6. Step 6: Final answer
    x = 118,677.94

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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.