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Finding the Fourth Proportional to 276,426.82, 414,447.84 and 122,469.21

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Solution

The fourth proportional to 276,426.82, 414,447.84 and 122,469.21 is: 183,618.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,426.82 : 414,447.84 = 122,469.21 : x
  2. Step 2: Convert to fraction form
    276,426.82/414,447.84 = 122,469.21/x
  3. Step 3: Cross multiply
    276,426.82x = 414,447.84 × 122,469.21
  4. Step 4: Simplify right side
    276,426.82x = 50,757,099,551.01
  5. Step 5: Solve for x
    x = 50,757,099,551.01/276,426.82
  6. Step 6: Final answer
    x = 183,618.58

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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.