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Finding the Fourth Proportional to 298,142.52, 411,620.46 and 205,168.44

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Solution

The fourth proportional to 298,142.52, 411,620.46 and 205,168.44 is: 283,258.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,142.52 : 411,620.46 = 205,168.44 : x
  2. Step 2: Convert to fraction form
    298,142.52/411,620.46 = 205,168.44/x
  3. Step 3: Cross multiply
    298,142.52x = 411,620.46 × 205,168.44
  4. Step 4: Simplify right side
    298,142.52x = 84,451,527,650.28
  5. Step 5: Solve for x
    x = 84,451,527,650.28/298,142.52
  6. Step 6: Final answer
    x = 283,258.92

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1.5x scale

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.