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Finding the Fourth Proportional to 215,080.20, 322,620.30 and 180,865.80

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Solution

The fourth proportional to 215,080.20, 322,620.30 and 180,865.80 is: 271,298.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,080.20 : 322,620.30 = 180,865.80 : x
  2. Step 2: Convert to fraction form
    215,080.20/322,620.30 = 180,865.80/x
  3. Step 3: Cross multiply
    215,080.20x = 322,620.30 × 180,865.80
  4. Step 4: Simplify right side
    215,080.20x = 58,350,978,655.74
  5. Step 5: Solve for x
    x = 58,350,978,655.74/215,080.20
  6. Step 6: Final answer
    x = 271,298.70

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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.