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Finding the Fourth Proportional to 494,150.53, 682,000.86 and 312,879.28

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Solution

The fourth proportional to 494,150.53, 682,000.86 and 312,879.28 is: 431,819.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,150.53 : 682,000.86 = 312,879.28 : x
  2. Step 2: Convert to fraction form
    494,150.53/682,000.86 = 312,879.28/x
  3. Step 3: Cross multiply
    494,150.53x = 682,000.86 × 312,879.28
  4. Step 4: Simplify right side
    494,150.53x = 213,383,938,036.18
  5. Step 5: Solve for x
    x = 213,383,938,036.18/494,150.53
  6. Step 6: Final answer
    x = 431,819.71

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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.