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Finding the Fourth Proportional to 225,439.40, 338,009.04 and 135,279.12

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Solution

The fourth proportional to 225,439.40, 338,009.04 and 135,279.12 is: 202,828.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,439.40 : 338,009.04 = 135,279.12 : x
  2. Step 2: Convert to fraction form
    225,439.40/338,009.04 = 135,279.12/x
  3. Step 3: Cross multiply
    225,439.40x = 338,009.04 × 135,279.12
  4. Step 4: Simplify right side
    225,439.40x = 45,725,565,483.24
  5. Step 5: Solve for x
    x = 45,725,565,483.24/225,439.40
  6. Step 6: Final answer
    x = 202,828.63

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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.