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Finding the Fourth Proportional to 276,102.94, 380,930.46 and 225,027.91

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Solution

The fourth proportional to 276,102.94, 380,930.46 and 225,027.91 is: 310,463.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,102.94 : 380,930.46 = 225,027.91 : x
  2. Step 2: Convert to fraction form
    276,102.94/380,930.46 = 225,027.91/x
  3. Step 3: Cross multiply
    276,102.94x = 380,930.46 × 225,027.91
  4. Step 4: Simplify right side
    276,102.94x = 85,719,985,269.14
  5. Step 5: Solve for x
    x = 85,719,985,269.14/276,102.94
  6. Step 6: Final answer
    x = 310,463.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.