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Finding the Fourth Proportional to 278,798.18, 418,213.19 and 79,102.80

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Solution

The fourth proportional to 278,798.18, 418,213.19 and 79,102.80 is: 118,658.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,798.18 : 418,213.19 = 79,102.80 : x
  2. Step 2: Convert to fraction form
    278,798.18/418,213.19 = 79,102.80/x
  3. Step 3: Cross multiply
    278,798.18x = 418,213.19 × 79,102.80
  4. Step 4: Simplify right side
    278,798.18x = 33,081,834,523.69
  5. Step 5: Solve for x
    x = 33,081,834,523.69/278,798.18
  6. Step 6: Final answer
    x = 118,658.72

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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.