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Finding the Fourth Proportional to 298,074, 411,133.80 and 196,067.28

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Solution

The fourth proportional to 298,074, 411,133.80 and 196,067.28 is: 270,435.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,074 : 411,133.80 = 196,067.28 : x
  2. Step 2: Convert to fraction form
    298,074/411,133.80 = 196,067.28/x
  3. Step 3: Cross multiply
    298,074x = 411,133.80 × 196,067.28
  4. Step 4: Simplify right side
    298,074x = 80,609,885,882.06
  5. Step 5: Solve for x
    x = 80,609,885,882.06/298,074
  6. Step 6: Final answer
    x = 270,435.82

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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.