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Finding the Fourth Proportional to 401,052.75, 553,452.80 and 222,204.75

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Solution

The fourth proportional to 401,052.75, 553,452.80 and 222,204.75 is: 306,642.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,052.75 : 553,452.80 = 222,204.75 : x
  2. Step 2: Convert to fraction form
    401,052.75/553,452.80 = 222,204.75/x
  3. Step 3: Cross multiply
    401,052.75x = 553,452.80 × 222,204.75
  4. Step 4: Simplify right side
    401,052.75x = 122,979,839,949.78
  5. Step 5: Solve for x
    x = 122,979,839,949.78/401,052.75
  6. Step 6: Final answer
    x = 306,642.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.