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Finding the Fourth Proportional to 331,112, 457,399.20 and 295,290.56

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Solution

The fourth proportional to 331,112, 457,399.20 and 295,290.56 is: 407,915.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,112 : 457,399.20 = 295,290.56 : x
  2. Step 2: Convert to fraction form
    331,112/457,399.20 = 295,290.56/x
  3. Step 3: Cross multiply
    331,112x = 457,399.20 × 295,290.56
  4. Step 4: Simplify right side
    331,112x = 135,065,665,911.55
  5. Step 5: Solve for x
    x = 135,065,665,911.55/331,112
  6. Step 6: Final answer
    x = 407,915.35

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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.