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Finding the Fourth Proportional to 494,408.57, 682,298.22 and 279,544.02

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Solution

The fourth proportional to 494,408.57, 682,298.22 and 279,544.02 is: 385,778.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,408.57 : 682,298.22 = 279,544.02 : x
  2. Step 2: Convert to fraction form
    494,408.57/682,298.22 = 279,544.02/x
  3. Step 3: Cross multiply
    494,408.57x = 682,298.22 × 279,544.02
  4. Step 4: Simplify right side
    494,408.57x = 190,732,387,257.64
  5. Step 5: Solve for x
    x = 190,732,387,257.64/494,408.57
  6. Step 6: Final answer
    x = 385,778.89

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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.