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Finding the Fourth Proportional to 278,827.32, 418,240.14 and 79,147.88

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Solution

The fourth proportional to 278,827.32, 418,240.14 and 79,147.88 is: 118,721.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,827.32 : 418,240.14 = 79,147.88 : x
  2. Step 2: Convert to fraction form
    278,827.32/418,240.14 = 79,147.88/x
  3. Step 3: Cross multiply
    278,827.32x = 418,240.14 × 79,147.88
  4. Step 4: Simplify right side
    278,827.32x = 33,102,818,320.70
  5. Step 5: Solve for x
    x = 33,102,818,320.70/278,827.32
  6. Step 6: Final answer
    x = 118,721.57

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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.