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Finding the Fourth Proportional to 276,687.20, 414,974.10 and 76,957.40

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Solution

The fourth proportional to 276,687.20, 414,974.10 and 76,957.40 is: 115,420.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,687.20 : 414,974.10 = 76,957.40 : x
  2. Step 2: Convert to fraction form
    276,687.20/414,974.10 = 76,957.40/x
  3. Step 3: Cross multiply
    276,687.20x = 414,974.10 × 76,957.40
  4. Step 4: Simplify right side
    276,687.20x = 31,935,327,803.34
  5. Step 5: Solve for x
    x = 31,935,327,803.34/276,687.20
  6. Step 6: Final answer
    x = 115,420.33

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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.