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Finding the Fourth Proportional to 300,241.92, 414,285.12 and 166,080

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Solution

The fourth proportional to 300,241.92, 414,285.12 and 166,080 is: 229,163.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,241.92 : 414,285.12 = 166,080 : x
  2. Step 2: Convert to fraction form
    300,241.92/414,285.12 = 166,080/x
  3. Step 3: Cross multiply
    300,241.92x = 414,285.12 × 166,080
  4. Step 4: Simplify right side
    300,241.92x = 68,804,472,729.60
  5. Step 5: Solve for x
    x = 68,804,472,729.60/300,241.92
  6. Step 6: Final answer
    x = 229,163.45

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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.