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Finding the Fourth Proportional to 494,814.12, 682,843.50 and 279,949.56

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Solution

The fourth proportional to 494,814.12, 682,843.50 and 279,949.56 is: 386,330.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,814.12 : 682,843.50 = 279,949.56 : x
  2. Step 2: Convert to fraction form
    494,814.12/682,843.50 = 279,949.56/x
  3. Step 3: Cross multiply
    494,814.12x = 682,843.50 × 279,949.56
  4. Step 4: Simplify right side
    494,814.12x = 191,161,737,373.86
  5. Step 5: Solve for x
    x = 191,161,737,373.86/494,814.12
  6. Step 6: Final answer
    x = 386,330.40

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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.