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Finding the Fourth Proportional to 205,855.20, 308,491.20 and 180,777.60

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Solution

The fourth proportional to 205,855.20, 308,491.20 and 180,777.60 is: 270,910.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,855.20 : 308,491.20 = 180,777.60 : x
  2. Step 2: Convert to fraction form
    205,855.20/308,491.20 = 180,777.60/x
  3. Step 3: Cross multiply
    205,855.20x = 308,491.20 × 180,777.60
  4. Step 4: Simplify right side
    205,855.20x = 55,768,298,757.12
  5. Step 5: Solve for x
    x = 55,768,298,757.12/205,855.20
  6. Step 6: Final answer
    x = 270,910.32

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1.5x scale

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.