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Finding the Fourth Proportional to 327,422.56, 451,586.88 and 212,738

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Solution

The fourth proportional to 327,422.56, 451,586.88 and 212,738 is: 293,411.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,422.56 : 451,586.88 = 212,738 : x
  2. Step 2: Convert to fraction form
    327,422.56/451,586.88 = 212,738/x
  3. Step 3: Cross multiply
    327,422.56x = 451,586.88 × 212,738
  4. Step 4: Simplify right side
    327,422.56x = 96,069,689,677.44
  5. Step 5: Solve for x
    x = 96,069,689,677.44/327,422.56
  6. Step 6: Final answer
    x = 293,411.94

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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.