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Finding the Fourth Proportional to 451,221.30, 622,452.60 and 305,977.97

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Solution

The fourth proportional to 451,221.30, 622,452.60 and 305,977.97 is: 422,091.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,221.30 : 622,452.60 = 305,977.97 : x
  2. Step 2: Convert to fraction form
    451,221.30/622,452.60 = 305,977.97/x
  3. Step 3: Cross multiply
    451,221.30x = 622,452.60 × 305,977.97
  4. Step 4: Simplify right side
    451,221.30x = 190,456,784,525.35
  5. Step 5: Solve for x
    x = 190,456,784,525.35/451,221.30
  6. Step 6: Final answer
    x = 422,091.74

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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.