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Finding the Fourth Proportional to 481,637.46, 664,481.25 and 311,965.14

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Solution

The fourth proportional to 481,637.46, 664,481.25 and 311,965.14 is: 430,396.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,637.46 : 664,481.25 = 311,965.14 : x
  2. Step 2: Convert to fraction form
    481,637.46/664,481.25 = 311,965.14/x
  3. Step 3: Cross multiply
    481,637.46x = 664,481.25 × 311,965.14
  4. Step 4: Simplify right side
    481,637.46x = 207,294,986,183.63
  5. Step 5: Solve for x
    x = 207,294,986,183.63/481,637.46
  6. Step 6: Final answer
    x = 430,396.31

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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.