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Finding the Fourth Proportional to 338,406.38, 467,213.15 and 217,757.34

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Solution

The fourth proportional to 338,406.38, 467,213.15 and 217,757.34 is: 300,641.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,406.38 : 467,213.15 = 217,757.34 : x
  2. Step 2: Convert to fraction form
    338,406.38/467,213.15 = 217,757.34/x
  3. Step 3: Cross multiply
    338,406.38x = 467,213.15 × 217,757.34
  4. Step 4: Simplify right side
    338,406.38x = 101,739,093,301.41
  5. Step 5: Solve for x
    x = 101,739,093,301.41/338,406.38
  6. Step 6: Final answer
    x = 300,641.77

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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.