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Finding the Fourth Proportional to 361,344, 498,654.72 and 220,032

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Solution

The fourth proportional to 361,344, 498,654.72 and 220,032 is: 303,644.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,344 : 498,654.72 = 220,032 : x
  2. Step 2: Convert to fraction form
    361,344/498,654.72 = 220,032/x
  3. Step 3: Cross multiply
    361,344x = 498,654.72 × 220,032
  4. Step 4: Simplify right side
    361,344x = 109,719,995,351.04
  5. Step 5: Solve for x
    x = 109,719,995,351.04/361,344
  6. Step 6: Final answer
    x = 303,644.16

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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.