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Finding the Fourth Proportional to 496,974.56, 685,806.12 and 303,705.44

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Solution

The fourth proportional to 496,974.56, 685,806.12 and 303,705.44 is: 419,102.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,974.56 : 685,806.12 = 303,705.44 : x
  2. Step 2: Convert to fraction form
    496,974.56/685,806.12 = 303,705.44/x
  3. Step 3: Cross multiply
    496,974.56x = 685,806.12 × 303,705.44
  4. Step 4: Simplify right side
    496,974.56x = 208,283,053,015.20
  5. Step 5: Solve for x
    x = 208,283,053,015.20/496,974.56
  6. Step 6: Final answer
    x = 419,102.04

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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.