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Finding the Fourth Proportional to 215,467.65, 323,201.48 and 140,818.05

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Solution

The fourth proportional to 215,467.65, 323,201.48 and 140,818.05 is: 211,227.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,467.65 : 323,201.48 = 140,818.05 : x
  2. Step 2: Convert to fraction form
    215,467.65/323,201.48 = 140,818.05/x
  3. Step 3: Cross multiply
    215,467.65x = 323,201.48 × 140,818.05
  4. Step 4: Simplify right side
    215,467.65x = 45,512,601,466.62
  5. Step 5: Solve for x
    x = 45,512,601,466.62/215,467.65
  6. Step 6: Final answer
    x = 211,227.08

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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.