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Finding the Fourth Proportional to 298,418.94, 411,687.36 and 196,313.04

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Solution

The fourth proportional to 298,418.94, 411,687.36 and 196,313.04 is: 270,825.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,418.94 : 411,687.36 = 196,313.04 : x
  2. Step 2: Convert to fraction form
    298,418.94/411,687.36 = 196,313.04/x
  3. Step 3: Cross multiply
    298,418.94x = 411,687.36 × 196,313.04
  4. Step 4: Simplify right side
    298,418.94x = 80,819,597,171.17
  5. Step 5: Solve for x
    x = 80,819,597,171.17/298,418.94
  6. Step 6: Final answer
    x = 270,825.96

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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.