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Finding the Fourth Proportional to 400,998.36, 601,082.82 and 190,476.12

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Solution

The fourth proportional to 400,998.36, 601,082.82 and 190,476.12 is: 285,517.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,998.36 : 601,082.82 = 190,476.12 : x
  2. Step 2: Convert to fraction form
    400,998.36/601,082.82 = 190,476.12/x
  3. Step 3: Cross multiply
    400,998.36x = 601,082.82 × 190,476.12
  4. Step 4: Simplify right side
    400,998.36x = 114,491,923,352.26
  5. Step 5: Solve for x
    x = 114,491,923,352.26/400,998.36
  6. Step 6: Final answer
    x = 285,517.19

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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.