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Finding the Fourth Proportional to 400,197.20, 600,101.40 and 222,515.60

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Solution

The fourth proportional to 400,197.20, 600,101.40 and 222,515.60 is: 333,665.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,197.20 : 600,101.40 = 222,515.60 : x
  2. Step 2: Convert to fraction form
    400,197.20/600,101.40 = 222,515.60/x
  3. Step 3: Cross multiply
    400,197.20x = 600,101.40 × 222,515.60
  4. Step 4: Simplify right side
    400,197.20x = 133,531,923,081.84
  5. Step 5: Solve for x
    x = 133,531,923,081.84/400,197.20
  6. Step 6: Final answer
    x = 333,665.31

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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.