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Finding the Fourth Proportional to 494,580.81, 682,650.41 and 313,380.57

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Solution

The fourth proportional to 494,580.81, 682,650.41 and 313,380.57 is: 432,546.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,580.81 : 682,650.41 = 313,380.57 : x
  2. Step 2: Convert to fraction form
    494,580.81/682,650.41 = 313,380.57/x
  3. Step 3: Cross multiply
    494,580.81x = 682,650.41 × 313,380.57
  4. Step 4: Simplify right side
    494,580.81x = 213,929,373,029.63
  5. Step 5: Solve for x
    x = 213,929,373,029.63/494,580.81
  6. Step 6: Final answer
    x = 432,546.85

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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.