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Finding the Fourth Proportional to 290,142.24, 400,414.42 and 167,639.88

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Solution

The fourth proportional to 290,142.24, 400,414.42 and 167,639.88 is: 231,353.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,142.24 : 400,414.42 = 167,639.88 : x
  2. Step 2: Convert to fraction form
    290,142.24/400,414.42 = 167,639.88/x
  3. Step 3: Cross multiply
    290,142.24x = 400,414.42 × 167,639.88
  4. Step 4: Simplify right side
    290,142.24x = 67,125,425,319.07
  5. Step 5: Solve for x
    x = 67,125,425,319.07/290,142.24
  6. Step 6: Final answer
    x = 231,353.51

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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.