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Finding the Fourth Proportional to 263,508.89, 363,642.20 and 142,650.09

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Solution

The fourth proportional to 263,508.89, 363,642.20 and 142,650.09 is: 196,857.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,508.89 : 363,642.20 = 142,650.09 : x
  2. Step 2: Convert to fraction form
    263,508.89/363,642.20 = 142,650.09/x
  3. Step 3: Cross multiply
    263,508.89x = 363,642.20 × 142,650.09
  4. Step 4: Simplify right side
    263,508.89x = 51,873,591,844.55
  5. Step 5: Solve for x
    x = 51,873,591,844.55/263,508.89
  6. Step 6: Final answer
    x = 196,857.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.