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Finding the Fourth Proportional to 300,801.20, 415,105.65 and 166,665.20

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Solution

The fourth proportional to 300,801.20, 415,105.65 and 166,665.20 is: 229,997.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,801.20 : 415,105.65 = 166,665.20 : x
  2. Step 2: Convert to fraction form
    300,801.20/415,105.65 = 166,665.20/x
  3. Step 3: Cross multiply
    300,801.20x = 415,105.65 × 166,665.20
  4. Step 4: Simplify right side
    300,801.20x = 69,183,664,102.85
  5. Step 5: Solve for x
    x = 69,183,664,102.85/300,801.20
  6. Step 6: Final answer
    x = 229,997.97

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1.5x scale

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.