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Finding the Fourth Proportional to 300,940.80, 415,296.96 and 166,804.80

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Solution

The fourth proportional to 300,940.80, 415,296.96 and 166,804.80 is: 230,189.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,940.80 : 415,296.96 = 166,804.80 : x
  2. Step 2: Convert to fraction form
    300,940.80/415,296.96 = 166,804.80/x
  3. Step 3: Cross multiply
    300,940.80x = 415,296.96 × 166,804.80
  4. Step 4: Simplify right side
    300,940.80x = 69,273,526,353.41
  5. Step 5: Solve for x
    x = 69,273,526,353.41/300,940.80
  6. Step 6: Final answer
    x = 230,189.88

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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.