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Finding the Fourth Proportional to 512,982.80, 768,859.80 and 263,536.40

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Solution

The fourth proportional to 512,982.80, 768,859.80 and 263,536.40 is: 394,988.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,982.80 : 768,859.80 = 263,536.40 : x
  2. Step 2: Convert to fraction form
    512,982.80/768,859.80 = 263,536.40/x
  3. Step 3: Cross multiply
    512,982.80x = 768,859.80 × 263,536.40
  4. Step 4: Simplify right side
    512,982.80x = 202,622,543,796.72
  5. Step 5: Solve for x
    x = 202,622,543,796.72/512,982.80
  6. Step 6: Final answer
    x = 394,988.96

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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.