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Finding the Fourth Proportional to 389,997.40, 584,996.10 and 221,452.60

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Solution

The fourth proportional to 389,997.40, 584,996.10 and 221,452.60 is: 332,178.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,997.40 : 584,996.10 = 221,452.60 : x
  2. Step 2: Convert to fraction form
    389,997.40/584,996.10 = 221,452.60/x
  3. Step 3: Cross multiply
    389,997.40x = 584,996.10 × 221,452.60
  4. Step 4: Simplify right side
    389,997.40x = 129,548,907,334.86
  5. Step 5: Solve for x
    x = 129,548,907,334.86/389,997.40
  6. Step 6: Final answer
    x = 332,178.90

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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.