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Finding the Fourth Proportional to 512,375.04, 769,031.33 and 259,829.82

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Solution

The fourth proportional to 512,375.04, 769,031.33 and 259,829.82 is: 389,982.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,375.04 : 769,031.33 = 259,829.82 : x
  2. Step 2: Convert to fraction form
    512,375.04/769,031.33 = 259,829.82/x
  3. Step 3: Cross multiply
    512,375.04x = 769,031.33 × 259,829.82
  4. Step 4: Simplify right side
    512,375.04x = 199,817,270,749.11
  5. Step 5: Solve for x
    x = 199,817,270,749.11/512,375.04
  6. Step 6: Final answer
    x = 389,982.44

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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.