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Finding the Fourth Proportional to 300,827.21, 451,231.56 and 123,200.44

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Solution

The fourth proportional to 300,827.21, 451,231.56 and 123,200.44 is: 184,796.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,827.21 : 451,231.56 = 123,200.44 : x
  2. Step 2: Convert to fraction form
    300,827.21/451,231.56 = 123,200.44/x
  3. Step 3: Cross multiply
    300,827.21x = 451,231.56 × 123,200.44
  4. Step 4: Simplify right side
    300,827.21x = 55,591,925,605.81
  5. Step 5: Solve for x
    x = 55,591,925,605.81/300,827.21
  6. Step 6: Final answer
    x = 184,796.87

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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.