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Finding the Fourth Proportional to 503,029.44, 694,231.56 and 288,198

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Solution

The fourth proportional to 503,029.44, 694,231.56 and 288,198 is: 397,742.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,029.44 : 694,231.56 = 288,198 : x
  2. Step 2: Convert to fraction form
    503,029.44/694,231.56 = 288,198/x
  3. Step 3: Cross multiply
    503,029.44x = 694,231.56 × 288,198
  4. Step 4: Simplify right side
    503,029.44x = 200,076,147,128.88
  5. Step 5: Solve for x
    x = 200,076,147,128.88/503,029.44
  6. Step 6: Final answer
    x = 397,742.42

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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.