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Finding the Fourth Proportional to 361,021.80, 541,383.66 and 136,344

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Solution

The fourth proportional to 361,021.80, 541,383.66 and 136,344 is: 204,459.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,021.80 : 541,383.66 = 136,344 : x
  2. Step 2: Convert to fraction form
    361,021.80/541,383.66 = 136,344/x
  3. Step 3: Cross multiply
    361,021.80x = 541,383.66 × 136,344
  4. Step 4: Simplify right side
    361,021.80x = 73,814,413,739.04
  5. Step 5: Solve for x
    x = 73,814,413,739.04/361,021.80
  6. Step 6: Final answer
    x = 204,459.71

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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.