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Finding the Fourth Proportional to 276,402.39, 414,633.21 and 76,723.62

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Solution

The fourth proportional to 276,402.39, 414,633.21 and 76,723.62 is: 115,093.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,402.39 : 414,633.21 = 76,723.62 : x
  2. Step 2: Convert to fraction form
    276,402.39/414,633.21 = 76,723.62/x
  3. Step 3: Cross multiply
    276,402.39x = 414,633.21 × 76,723.62
  4. Step 4: Simplify right side
    276,402.39x = 31,812,160,843.42
  5. Step 5: Solve for x
    x = 31,812,160,843.42/276,402.39
  6. Step 6: Final answer
    x = 115,093.65

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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.