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Finding the Fourth Proportional to 512,732.82, 768,791.31 and 212,851.38

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Solution

The fourth proportional to 512,732.82, 768,791.31 and 212,851.38 is: 319,149.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,732.82 : 768,791.31 = 212,851.38 : x
  2. Step 2: Convert to fraction form
    512,732.82/768,791.31 = 212,851.38/x
  3. Step 3: Cross multiply
    512,732.82x = 768,791.31 × 212,851.38
  4. Step 4: Simplify right side
    512,732.82x = 163,638,291,265.51
  5. Step 5: Solve for x
    x = 163,638,291,265.51/512,732.82
  6. Step 6: Final answer
    x = 319,149.24

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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.