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Finding the Fourth Proportional to 276,401.14, 414,631.34 and 76,722.37

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Solution

The fourth proportional to 276,401.14, 414,631.34 and 76,722.37 is: 115,091.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,401.14 : 414,631.34 = 76,722.37 : x
  2. Step 2: Convert to fraction form
    276,401.14/414,631.34 = 76,722.37/x
  3. Step 3: Cross multiply
    276,401.14x = 414,631.34 × 76,722.37
  4. Step 4: Simplify right side
    276,401.14x = 31,811,499,081.08
  5. Step 5: Solve for x
    x = 31,811,499,081.08/276,401.14
  6. Step 6: Final answer
    x = 115,091.78

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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.