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Finding the Fourth Proportional to 415,067.70, 622,601.55 and 205,115.70

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Solution

The fourth proportional to 415,067.70, 622,601.55 and 205,115.70 is: 307,673.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,067.70 : 622,601.55 = 205,115.70 : x
  2. Step 2: Convert to fraction form
    415,067.70/622,601.55 = 205,115.70/x
  3. Step 3: Cross multiply
    415,067.70x = 622,601.55 × 205,115.70
  4. Step 4: Simplify right side
    415,067.70x = 127,705,352,749.34
  5. Step 5: Solve for x
    x = 127,705,352,749.34/415,067.70
  6. Step 6: Final answer
    x = 307,673.55

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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.