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Finding the Fourth Proportional to 494,771, 682,777.50 and 268,424.60

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Solution

The fourth proportional to 494,771, 682,777.50 and 268,424.60 is: 370,422.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,771 : 682,777.50 = 268,424.60 : x
  2. Step 2: Convert to fraction form
    494,771/682,777.50 = 268,424.60/x
  3. Step 3: Cross multiply
    494,771x = 682,777.50 × 268,424.60
  4. Step 4: Simplify right side
    494,771x = 183,274,277,326.50
  5. Step 5: Solve for x
    x = 183,274,277,326.50/494,771
  6. Step 6: Final answer
    x = 370,422.43

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1.5x scale

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.