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Finding the Fourth Proportional to 409,979.43, 615,202.70 and 327,398.31

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Solution

The fourth proportional to 409,979.43, 615,202.70 and 327,398.31 is: 491,283.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,979.43 : 615,202.70 = 327,398.31 : x
  2. Step 2: Convert to fraction form
    409,979.43/615,202.70 = 327,398.31/x
  3. Step 3: Cross multiply
    409,979.43x = 615,202.70 × 327,398.31
  4. Step 4: Simplify right side
    409,979.43x = 201,416,322,650.45
  5. Step 5: Solve for x
    x = 201,416,322,650.45/409,979.43
  6. Step 6: Final answer
    x = 491,283.97

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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.