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Finding the Fourth Proportional to 471,067.28, 649,820.40 and 327,578.16

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Solution

The fourth proportional to 471,067.28, 649,820.40 and 327,578.16 is: 451,882.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,067.28 : 649,820.40 = 327,578.16 : x
  2. Step 2: Convert to fraction form
    471,067.28/649,820.40 = 327,578.16/x
  3. Step 3: Cross multiply
    471,067.28x = 649,820.40 × 327,578.16
  4. Step 4: Simplify right side
    471,067.28x = 212,866,970,962.46
  5. Step 5: Solve for x
    x = 212,866,970,962.46/471,067.28
  6. Step 6: Final answer
    x = 451,882.31

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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.