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Finding the Fourth Proportional to 225,809.32, 338,606.46 and 85,478.44

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Solution

The fourth proportional to 225,809.32, 338,606.46 and 85,478.44 is: 128,176.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,809.32 : 338,606.46 = 85,478.44 : x
  2. Step 2: Convert to fraction form
    225,809.32/338,606.46 = 85,478.44/x
  3. Step 3: Cross multiply
    225,809.32x = 338,606.46 × 85,478.44
  4. Step 4: Simplify right side
    225,809.32x = 28,943,551,974.72
  5. Step 5: Solve for x
    x = 28,943,551,974.72/225,809.32
  6. Step 6: Final answer
    x = 128,176.96

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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.