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Finding the Fourth Proportional to 408,485.16, 612,354.24 and 171,844.56

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Solution

The fourth proportional to 408,485.16, 612,354.24 and 171,844.56 is: 257,609.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,485.16 : 612,354.24 = 171,844.56 : x
  2. Step 2: Convert to fraction form
    408,485.16/612,354.24 = 171,844.56/x
  3. Step 3: Cross multiply
    408,485.16x = 612,354.24 × 171,844.56
  4. Step 4: Simplify right side
    408,485.16x = 105,229,744,936.93
  5. Step 5: Solve for x
    x = 105,229,744,936.93/408,485.16
  6. Step 6: Final answer
    x = 257,609.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.