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Finding the Fourth Proportional to 427,660.44, 641,067.30 and 202,623

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Solution

The fourth proportional to 427,660.44, 641,067.30 and 202,623 is: 303,733.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,660.44 : 641,067.30 = 202,623 : x
  2. Step 2: Convert to fraction form
    427,660.44/641,067.30 = 202,623/x
  3. Step 3: Cross multiply
    427,660.44x = 641,067.30 × 202,623
  4. Step 4: Simplify right side
    427,660.44x = 129,894,979,527.90
  5. Step 5: Solve for x
    x = 129,894,979,527.90/427,660.44
  6. Step 6: Final answer
    x = 303,733.91

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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.