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Finding the Fourth Proportional to 489,021.50, 674,882.13 and 274,175.48

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Solution

The fourth proportional to 489,021.50, 674,882.13 and 274,175.48 is: 378,380.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,021.50 : 674,882.13 = 274,175.48 : x
  2. Step 2: Convert to fraction form
    489,021.50/674,882.13 = 274,175.48/x
  3. Step 3: Cross multiply
    489,021.50x = 674,882.13 × 274,175.48
  4. Step 4: Simplify right side
    489,021.50x = 185,036,131,936.17
  5. Step 5: Solve for x
    x = 185,036,131,936.17/489,021.50
  6. Step 6: Final answer
    x = 378,380.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.