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Finding the Fourth Proportional to 295,779, 408,175.20 and 161,643

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Solution

The fourth proportional to 295,779, 408,175.20 and 161,643 is: 223,067.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,779 : 408,175.20 = 161,643 : x
  2. Step 2: Convert to fraction form
    295,779/408,175.20 = 161,643/x
  3. Step 3: Cross multiply
    295,779x = 408,175.20 × 161,643
  4. Step 4: Simplify right side
    295,779x = 65,978,663,853.60
  5. Step 5: Solve for x
    x = 65,978,663,853.60/295,779
  6. Step 6: Final answer
    x = 223,067.44

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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.