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Finding the Fourth Proportional to 494,734.06, 682,745.25 and 303,638.86

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Solution

The fourth proportional to 494,734.06, 682,745.25 and 303,638.86 is: 419,029.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,734.06 : 682,745.25 = 303,638.86 : x
  2. Step 2: Convert to fraction form
    494,734.06/682,745.25 = 303,638.86/x
  3. Step 3: Cross multiply
    494,734.06x = 682,745.25 × 303,638.86
  4. Step 4: Simplify right side
    494,734.06x = 207,307,989,380.42
  5. Step 5: Solve for x
    x = 207,307,989,380.42/494,734.06
  6. Step 6: Final answer
    x = 419,029.14

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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.