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Finding the Fourth Proportional to 396,759.64, 594,920.76 and 206,745.80

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Solution

The fourth proportional to 396,759.64, 594,920.76 and 206,745.80 is: 310,004.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,759.64 : 594,920.76 = 206,745.80 : x
  2. Step 2: Convert to fraction form
    396,759.64/594,920.76 = 206,745.80/x
  3. Step 3: Cross multiply
    396,759.64x = 594,920.76 × 206,745.80
  4. Step 4: Simplify right side
    396,759.64x = 122,997,368,462.81
  5. Step 5: Solve for x
    x = 122,997,368,462.81/396,759.64
  6. Step 6: Final answer
    x = 310,004.74

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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.