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Finding the Fourth Proportional to 494,763.50, 682,773.90 and 268,409

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Solution

The fourth proportional to 494,763.50, 682,773.90 and 268,409 is: 370,404.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,763.50 : 682,773.90 = 268,409 : x
  2. Step 2: Convert to fraction form
    494,763.50/682,773.90 = 268,409/x
  3. Step 3: Cross multiply
    494,763.50x = 682,773.90 × 268,409
  4. Step 4: Simplify right side
    494,763.50x = 183,262,659,725.10
  5. Step 5: Solve for x
    x = 183,262,659,725.10/494,763.50
  6. Step 6: Final answer
    x = 370,404.57

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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.