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Finding the Fourth Proportional to 494,804.13, 682,911.36 and 339,627.90

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Solution

The fourth proportional to 494,804.13, 682,911.36 and 339,627.90 is: 468,742.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,804.13 : 682,911.36 = 339,627.90 : x
  2. Step 2: Convert to fraction form
    494,804.13/682,911.36 = 339,627.90/x
  3. Step 3: Cross multiply
    494,804.13x = 682,911.36 × 339,627.90
  4. Step 4: Simplify right side
    494,804.13x = 231,935,751,082.94
  5. Step 5: Solve for x
    x = 231,935,751,082.94/494,804.13
  6. Step 6: Final answer
    x = 468,742.55

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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.