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Finding the Fourth Proportional to 278,798.80, 418,214.24 and 79,103.56

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Solution

The fourth proportional to 278,798.80, 418,214.24 and 79,103.56 is: 118,659.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,798.80 : 418,214.24 = 79,103.56 : x
  2. Step 2: Convert to fraction form
    278,798.80/418,214.24 = 79,103.56/x
  3. Step 3: Cross multiply
    278,798.80x = 418,214.24 × 79,103.56
  4. Step 4: Simplify right side
    278,798.80x = 33,082,235,226.69
  5. Step 5: Solve for x
    x = 33,082,235,226.69/278,798.80
  6. Step 6: Final answer
    x = 118,659.89

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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.