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Finding the Fourth Proportional to 382,219.52, 527,481.64 and 212,450

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Solution

The fourth proportional to 382,219.52, 527,481.64 and 212,450 is: 293,191.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,219.52 : 527,481.64 = 212,450 : x
  2. Step 2: Convert to fraction form
    382,219.52/527,481.64 = 212,450/x
  3. Step 3: Cross multiply
    382,219.52x = 527,481.64 × 212,450
  4. Step 4: Simplify right side
    382,219.52x = 112,063,474,418
  5. Step 5: Solve for x
    x = 112,063,474,418/382,219.52
  6. Step 6: Final answer
    x = 293,191.40

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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.