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Finding the Fourth Proportional to 494,774, 682,781.64 and 268,427.60

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Solution

The fourth proportional to 494,774, 682,781.64 and 268,427.60 is: 370,426.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,774 : 682,781.64 = 268,427.60 : x
  2. Step 2: Convert to fraction form
    494,774/682,781.64 = 268,427.60/x
  3. Step 3: Cross multiply
    494,774x = 682,781.64 × 268,427.60
  4. Step 4: Simplify right side
    494,774x = 183,277,436,949.26
  5. Step 5: Solve for x
    x = 183,277,436,949.26/494,774
  6. Step 6: Final answer
    x = 370,426.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.