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Finding the Fourth Proportional to 276,434.75, 414,652.29 and 76,755.14

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Solution

The fourth proportional to 276,434.75, 414,652.29 and 76,755.14 is: 115,132.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,434.75 : 414,652.29 = 76,755.14 : x
  2. Step 2: Convert to fraction form
    276,434.75/414,652.29 = 76,755.14/x
  3. Step 3: Cross multiply
    276,434.75x = 414,652.29 × 76,755.14
  4. Step 4: Simplify right side
    276,434.75x = 31,826,696,312.42
  5. Step 5: Solve for x
    x = 31,826,696,312.42/276,434.75
  6. Step 6: Final answer
    x = 115,132.76

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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.