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Finding the Fourth Proportional to 189,982.80, 284,974.20 and 188,670.60

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Solution

The fourth proportional to 189,982.80, 284,974.20 and 188,670.60 is: 283,005.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,982.80 : 284,974.20 = 188,670.60 : x
  2. Step 2: Convert to fraction form
    189,982.80/284,974.20 = 188,670.60/x
  3. Step 3: Cross multiply
    189,982.80x = 284,974.20 × 188,670.60
  4. Step 4: Simplify right side
    189,982.80x = 53,766,253,298.52
  5. Step 5: Solve for x
    x = 53,766,253,298.52/189,982.80
  6. Step 6: Final answer
    x = 283,005.90

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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.