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Finding the Fourth Proportional to 251,634.87, 377,514.54 and 206,732.12

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Solution

The fourth proportional to 251,634.87, 377,514.54 and 206,732.12 is: 310,149.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,634.87 : 377,514.54 = 206,732.12 : x
  2. Step 2: Convert to fraction form
    251,634.87/377,514.54 = 206,732.12/x
  3. Step 3: Cross multiply
    251,634.87x = 377,514.54 × 206,732.12
  4. Step 4: Simplify right side
    251,634.87x = 78,044,379,297.45
  5. Step 5: Solve for x
    x = 78,044,379,297.45/251,634.87
  6. Step 6: Final answer
    x = 310,149.30

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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.