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Finding the Fourth Proportional to 338,729.80, 467,232.42 and 217,662.76

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Solution

The fourth proportional to 338,729.80, 467,232.42 and 217,662.76 is: 300,236.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,729.80 : 467,232.42 = 217,662.76 : x
  2. Step 2: Convert to fraction form
    338,729.80/467,232.42 = 217,662.76/x
  3. Step 3: Cross multiply
    338,729.80x = 467,232.42 × 217,662.76
  4. Step 4: Simplify right side
    338,729.80x = 101,699,098,098.68
  5. Step 5: Solve for x
    x = 101,699,098,098.68/338,729.80
  6. Step 6: Final answer
    x = 300,236.64

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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.