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Finding the Fourth Proportional to 398,936.82, 598,517.82 and 162,449.22

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Solution

The fourth proportional to 398,936.82, 598,517.82 and 162,449.22 is: 243,719.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,936.82 : 598,517.82 = 162,449.22 : x
  2. Step 2: Convert to fraction form
    398,936.82/598,517.82 = 162,449.22/x
  3. Step 3: Cross multiply
    398,936.82x = 598,517.82 × 162,449.22
  4. Step 4: Simplify right side
    398,936.82x = 97,228,753,015.10
  5. Step 5: Solve for x
    x = 97,228,753,015.10/398,936.82
  6. Step 6: Final answer
    x = 243,719.68

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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.