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Finding the Fourth Proportional to 415,067.80, 622,601.87 and 320,436.14

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Solution

The fourth proportional to 415,067.80, 622,601.87 and 320,436.14 is: 480,654.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,067.80 : 622,601.87 = 320,436.14 : x
  2. Step 2: Convert to fraction form
    415,067.80/622,601.87 = 320,436.14/x
  3. Step 3: Cross multiply
    415,067.80x = 622,601.87 × 320,436.14
  4. Step 4: Simplify right side
    415,067.80x = 199,504,139,979.58
  5. Step 5: Solve for x
    x = 199,504,139,979.58/415,067.80
  6. Step 6: Final answer
    x = 480,654.34

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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.