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Finding the Fourth Proportional to 408,466.80, 612,939.96 and 171,791.28

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Solution

The fourth proportional to 408,466.80, 612,939.96 and 171,791.28 is: 257,787.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,466.80 : 612,939.96 = 171,791.28 : x
  2. Step 2: Convert to fraction form
    408,466.80/612,939.96 = 171,791.28/x
  3. Step 3: Cross multiply
    408,466.80x = 612,939.96 × 171,791.28
  4. Step 4: Simplify right side
    408,466.80x = 105,297,740,291.55
  5. Step 5: Solve for x
    x = 105,297,740,291.55/408,466.80
  6. Step 6: Final answer
    x = 257,787.76

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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.