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Finding the Fourth Proportional to 206,469.34, 309,734.82 and 73,338.40

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Solution

The fourth proportional to 206,469.34, 309,734.82 and 73,338.40 is: 110,018.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,469.34 : 309,734.82 = 73,338.40 : x
  2. Step 2: Convert to fraction form
    206,469.34/309,734.82 = 73,338.40/x
  3. Step 3: Cross multiply
    206,469.34x = 309,734.82 × 73,338.40
  4. Step 4: Simplify right side
    206,469.34x = 22,715,456,123.09
  5. Step 5: Solve for x
    x = 22,715,456,123.09/206,469.34
  6. Step 6: Final answer
    x = 110,018.54

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1.5x scale

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.