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Finding the Fourth Proportional to 512,467.11, 769,169.43 and 259,921.98

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Solution

The fourth proportional to 512,467.11, 769,169.43 and 259,921.98 is: 390,120.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,467.11 : 769,169.43 = 259,921.98 : x
  2. Step 2: Convert to fraction form
    512,467.11/769,169.43 = 259,921.98/x
  3. Step 3: Cross multiply
    512,467.11x = 769,169.43 × 259,921.98
  4. Step 4: Simplify right side
    512,467.11x = 199,924,041,201.07
  5. Step 5: Solve for x
    x = 199,924,041,201.07/512,467.11
  6. Step 6: Final answer
    x = 390,120.73

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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.