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Finding the Fourth Proportional to 218,414.43, 301,388.58 and 122,919.48

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Solution

The fourth proportional to 218,414.43, 301,388.58 and 122,919.48 is: 169,615.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,414.43 : 301,388.58 = 122,919.48 : x
  2. Step 2: Convert to fraction form
    218,414.43/301,388.58 = 122,919.48/x
  3. Step 3: Cross multiply
    218,414.43x = 301,388.58 × 122,919.48
  4. Step 4: Simplify right side
    218,414.43x = 37,046,527,531.54
  5. Step 5: Solve for x
    x = 37,046,527,531.54/218,414.43
  6. Step 6: Final answer
    x = 169,615.75

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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.