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Finding the Fourth Proportional to 225,754.56, 338,194.44 and 120,428.64

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Solution

The fourth proportional to 225,754.56, 338,194.44 and 120,428.64 is: 180,409.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,754.56 : 338,194.44 = 120,428.64 : x
  2. Step 2: Convert to fraction form
    225,754.56/338,194.44 = 120,428.64/x
  3. Step 3: Cross multiply
    225,754.56x = 338,194.44 × 120,428.64
  4. Step 4: Simplify right side
    225,754.56x = 40,728,296,464.76
  5. Step 5: Solve for x
    x = 40,728,296,464.76/225,754.56
  6. Step 6: Final answer
    x = 180,409.63

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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.