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Finding the Fourth Proportional to 288,791.28, 398,371.94 and 167,919.21

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Solution

The fourth proportional to 288,791.28, 398,371.94 and 167,919.21 is: 231,635.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,791.28 : 398,371.94 = 167,919.21 : x
  2. Step 2: Convert to fraction form
    288,791.28/398,371.94 = 167,919.21/x
  3. Step 3: Cross multiply
    288,791.28x = 398,371.94 × 167,919.21
  4. Step 4: Simplify right side
    288,791.28x = 66,894,299,039.31
  5. Step 5: Solve for x
    x = 66,894,299,039.31/288,791.28
  6. Step 6: Final answer
    x = 231,635.46

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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.