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Finding the Fourth Proportional to 407,025.25, 561,701.87 and 225,745.09

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Solution

The fourth proportional to 407,025.25, 561,701.87 and 225,745.09 is: 311,532.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,025.25 : 561,701.87 = 225,745.09 : x
  2. Step 2: Convert to fraction form
    407,025.25/561,701.87 = 225,745.09/x
  3. Step 3: Cross multiply
    407,025.25x = 561,701.87 × 225,745.09
  4. Step 4: Simplify right side
    407,025.25x = 126,801,438,067.59
  5. Step 5: Solve for x
    x = 126,801,438,067.59/407,025.25
  6. Step 6: Final answer
    x = 311,532.12

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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.