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Finding the Fourth Proportional to 225,408.13, 311,059.11 and 123,431.72

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Solution

The fourth proportional to 225,408.13, 311,059.11 and 123,431.72 is: 170,333.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,408.13 : 311,059.11 = 123,431.72 : x
  2. Step 2: Convert to fraction form
    225,408.13/311,059.11 = 123,431.72/x
  3. Step 3: Cross multiply
    225,408.13x = 311,059.11 × 123,431.72
  4. Step 4: Simplify right side
    225,408.13x = 38,394,559,876.54
  5. Step 5: Solve for x
    x = 38,394,559,876.54/225,408.13
  6. Step 6: Final answer
    x = 170,333.52

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1.5x scale

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.