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Finding the Fourth Proportional to 300,629.54, 414,765.78 and 171,475.20

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Solution

The fourth proportional to 300,629.54, 414,765.78 and 171,475.20 is: 236,577.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,629.54 : 414,765.78 = 171,475.20 : x
  2. Step 2: Convert to fraction form
    300,629.54/414,765.78 = 171,475.20/x
  3. Step 3: Cross multiply
    300,629.54x = 414,765.78 × 171,475.20
  4. Step 4: Simplify right side
    300,629.54x = 71,122,045,078.66
  5. Step 5: Solve for x
    x = 71,122,045,078.66/300,629.54
  6. Step 6: Final answer
    x = 236,577.04

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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.