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Finding the Fourth Proportional to 331,354, 457,311.72 and 197,218

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Solution

The fourth proportional to 331,354, 457,311.72 and 197,218 is: 272,186.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,354 : 457,311.72 = 197,218 : x
  2. Step 2: Convert to fraction form
    331,354/457,311.72 = 197,218/x
  3. Step 3: Cross multiply
    331,354x = 457,311.72 × 197,218
  4. Step 4: Simplify right side
    331,354x = 90,190,102,794.96
  5. Step 5: Solve for x
    x = 90,190,102,794.96/331,354
  6. Step 6: Final answer
    x = 272,186.55

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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.