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Finding the Fourth Proportional to 203,747.20, 305,037.60 and 180,419.20

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Solution

The fourth proportional to 203,747.20, 305,037.60 and 180,419.20 is: 270,112.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,747.20 : 305,037.60 = 180,419.20 : x
  2. Step 2: Convert to fraction form
    203,747.20/305,037.60 = 180,419.20/x
  3. Step 3: Cross multiply
    203,747.20x = 305,037.60 × 180,419.20
  4. Step 4: Simplify right side
    203,747.20x = 55,034,639,761.92
  5. Step 5: Solve for x
    x = 55,034,639,761.92/203,747.20
  6. Step 6: Final answer
    x = 270,112.37

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1.5x scale

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.