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Finding the Fourth Proportional to 809,675.60, 1,214,659.20 and 336,408.80

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Solution

The fourth proportional to 809,675.60, 1,214,659.20 and 336,408.80 is: 504,673.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,675.60 : 1,214,659.20 = 336,408.80 : x
  2. Step 2: Convert to fraction form
    809,675.60/1,214,659.20 = 336,408.80/x
  3. Step 3: Cross multiply
    809,675.60x = 1,214,659.20 × 336,408.80
  4. Step 4: Simplify right side
    809,675.60x = 408,622,043,880.96
  5. Step 5: Solve for x
    x = 408,622,043,880.96/809,675.60
  6. Step 6: Final answer
    x = 504,673.78

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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.