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Finding the Fourth Proportional to 400,207.20, 600,116.40 and 222,525.60

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Solution

The fourth proportional to 400,207.20, 600,116.40 and 222,525.60 is: 333,680.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,207.20 : 600,116.40 = 222,525.60 : x
  2. Step 2: Convert to fraction form
    400,207.20/600,116.40 = 222,525.60/x
  3. Step 3: Cross multiply
    400,207.20x = 600,116.40 × 222,525.60
  4. Step 4: Simplify right side
    400,207.20x = 133,541,261,979.84
  5. Step 5: Solve for x
    x = 133,541,261,979.84/400,207.20
  6. Step 6: Final answer
    x = 333,680.31

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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.