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Finding the Fourth Proportional to 278,679.64, 417,912.49 and 118,654.12

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Solution

The fourth proportional to 278,679.64, 417,912.49 and 118,654.12 is: 177,935.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,679.64 : 417,912.49 = 118,654.12 : x
  2. Step 2: Convert to fraction form
    278,679.64/417,912.49 = 118,654.12/x
  3. Step 3: Cross multiply
    278,679.64x = 417,912.49 × 118,654.12
  4. Step 4: Simplify right side
    278,679.64x = 49,587,037,693.18
  5. Step 5: Solve for x
    x = 49,587,037,693.18/278,679.64
  6. Step 6: Final answer
    x = 177,935.63

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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.