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Finding the Fourth Proportional to 276,489.87, 414,734.63 and 158,078.17

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Solution

The fourth proportional to 276,489.87, 414,734.63 and 158,078.17 is: 237,117.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,489.87 : 414,734.63 = 158,078.17 : x
  2. Step 2: Convert to fraction form
    276,489.87/414,734.63 = 158,078.17/x
  3. Step 3: Cross multiply
    276,489.87x = 414,734.63 × 158,078.17
  4. Step 4: Simplify right side
    276,489.87x = 65,560,491,074.05
  5. Step 5: Solve for x
    x = 65,560,491,074.05/276,489.87
  6. Step 6: Final answer
    x = 237,117.16

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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.