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Finding the Fourth Proportional to 215,843.10, 323,764.65 and 214,460.70

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Solution

The fourth proportional to 215,843.10, 323,764.65 and 214,460.70 is: 321,691.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,843.10 : 323,764.65 = 214,460.70 : x
  2. Step 2: Convert to fraction form
    215,843.10/323,764.65 = 214,460.70/x
  3. Step 3: Cross multiply
    215,843.10x = 323,764.65 × 214,460.70
  4. Step 4: Simplify right side
    215,843.10x = 69,434,793,474.26
  5. Step 5: Solve for x
    x = 69,434,793,474.26/215,843.10
  6. Step 6: Final answer
    x = 321,691.05

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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.