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Finding the Fourth Proportional to 205,027.20, 307,540.80 and 189,280.80

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Solution

The fourth proportional to 205,027.20, 307,540.80 and 189,280.80 is: 283,921.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,027.20 : 307,540.80 = 189,280.80 : x
  2. Step 2: Convert to fraction form
    205,027.20/307,540.80 = 189,280.80/x
  3. Step 3: Cross multiply
    205,027.20x = 307,540.80 × 189,280.80
  4. Step 4: Simplify right side
    205,027.20x = 58,211,568,656.64
  5. Step 5: Solve for x
    x = 58,211,568,656.64/205,027.20
  6. Step 6: Final answer
    x = 283,921.20

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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.