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Finding the Fourth Proportional to 217,814.10, 326,721.15 and 164,591.70

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Solution

The fourth proportional to 217,814.10, 326,721.15 and 164,591.70 is: 246,887.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,814.10 : 326,721.15 = 164,591.70 : x
  2. Step 2: Convert to fraction form
    217,814.10/326,721.15 = 164,591.70/x
  3. Step 3: Cross multiply
    217,814.10x = 326,721.15 × 164,591.70
  4. Step 4: Simplify right side
    217,814.10x = 53,775,589,504.46
  5. Step 5: Solve for x
    x = 53,775,589,504.46/217,814.10
  6. Step 6: Final answer
    x = 246,887.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.