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Finding the Fourth Proportional to 300,790, 415,090.20 and 166,654

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Solution

The fourth proportional to 300,790, 415,090.20 and 166,654 is: 229,982.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,790 : 415,090.20 = 166,654 : x
  2. Step 2: Convert to fraction form
    300,790/415,090.20 = 166,654/x
  3. Step 3: Cross multiply
    300,790x = 415,090.20 × 166,654
  4. Step 4: Simplify right side
    300,790x = 69,176,442,190.80
  5. Step 5: Solve for x
    x = 69,176,442,190.80/300,790
  6. Step 6: Final answer
    x = 229,982.52

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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.