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Finding the Fourth Proportional to 389,469.60, 584,204.40 and 200,512.80

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Solution

The fourth proportional to 389,469.60, 584,204.40 and 200,512.80 is: 300,769.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,469.60 : 584,204.40 = 200,512.80 : x
  2. Step 2: Convert to fraction form
    389,469.60/584,204.40 = 200,512.80/x
  3. Step 3: Cross multiply
    389,469.60x = 584,204.40 × 200,512.80
  4. Step 4: Simplify right side
    389,469.60x = 117,140,460,016.32
  5. Step 5: Solve for x
    x = 117,140,460,016.32/389,469.60
  6. Step 6: Final answer
    x = 300,769.20

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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.