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Finding the Fourth Proportional to 331,344, 457,297.92 and 197,208

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Solution

The fourth proportional to 331,344, 457,297.92 and 197,208 is: 272,172.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,344 : 457,297.92 = 197,208 : x
  2. Step 2: Convert to fraction form
    331,344/457,297.92 = 197,208/x
  3. Step 3: Cross multiply
    331,344x = 457,297.92 × 197,208
  4. Step 4: Simplify right side
    331,344x = 90,182,808,207.36
  5. Step 5: Solve for x
    x = 90,182,808,207.36/331,344
  6. Step 6: Final answer
    x = 272,172.75

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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.