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Finding the Fourth Proportional to 494,245.94, 682,052 and 279,378.46

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Solution

The fourth proportional to 494,245.94, 682,052 and 279,378.46 is: 385,538.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,245.94 : 682,052 = 279,378.46 : x
  2. Step 2: Convert to fraction form
    494,245.94/682,052 = 279,378.46/x
  3. Step 3: Cross multiply
    494,245.94x = 682,052 × 279,378.46
  4. Step 4: Simplify right side
    494,245.94x = 190,550,637,399.92
  5. Step 5: Solve for x
    x = 190,550,637,399.92/494,245.94
  6. Step 6: Final answer
    x = 385,538.09

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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.