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Finding the Fourth Proportional to 278,836.32, 418,253.64 and 79,156.88

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Solution

The fourth proportional to 278,836.32, 418,253.64 and 79,156.88 is: 118,735.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,836.32 : 418,253.64 = 79,156.88 : x
  2. Step 2: Convert to fraction form
    278,836.32/418,253.64 = 79,156.88/x
  3. Step 3: Cross multiply
    278,836.32x = 418,253.64 × 79,156.88
  4. Step 4: Simplify right side
    278,836.32x = 33,107,653,191.04
  5. Step 5: Solve for x
    x = 33,107,653,191.04/278,836.32
  6. Step 6: Final answer
    x = 118,735.08

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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.