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Finding the Fourth Proportional to 310,201.80, 428,067.43 and 189,545.01

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Solution

The fourth proportional to 310,201.80, 428,067.43 and 189,545.01 is: 261,565.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,201.80 : 428,067.43 = 189,545.01 : x
  2. Step 2: Convert to fraction form
    310,201.80/428,067.43 = 189,545.01/x
  3. Step 3: Cross multiply
    310,201.80x = 428,067.43 × 189,545.01
  4. Step 4: Simplify right side
    310,201.80x = 81,138,046,694.98
  5. Step 5: Solve for x
    x = 81,138,046,694.98/310,201.80
  6. Step 6: Final answer
    x = 261,565.36

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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.