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Finding the Fourth Proportional to 278,760.96, 418,970.88 and 131,120.64

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Solution

The fourth proportional to 278,760.96, 418,970.88 and 131,120.64 is: 197,071.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,760.96 : 418,970.88 = 131,120.64 : x
  2. Step 2: Convert to fraction form
    278,760.96/418,970.88 = 131,120.64/x
  3. Step 3: Cross multiply
    278,760.96x = 418,970.88 × 131,120.64
  4. Step 4: Simplify right side
    278,760.96x = 54,935,729,926.96
  5. Step 5: Solve for x
    x = 54,935,729,926.96/278,760.96
  6. Step 6: Final answer
    x = 197,071.10

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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.