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Finding the Fourth Proportional to 521,704.40, 782,815.80 and 206,171.60

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Solution

The fourth proportional to 521,704.40, 782,815.80 and 206,171.60 is: 309,359.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,704.40 : 782,815.80 = 206,171.60 : x
  2. Step 2: Convert to fraction form
    521,704.40/782,815.80 = 206,171.60/x
  3. Step 3: Cross multiply
    521,704.40x = 782,815.80 × 206,171.60
  4. Step 4: Simplify right side
    521,704.40x = 161,394,385,991.28
  5. Step 5: Solve for x
    x = 161,394,385,991.28/521,704.40
  6. Step 6: Final answer
    x = 309,359.83

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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.