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Finding the Fourth Proportional to 309,980.54, 427,974.87 and 189,191.85

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Solution

The fourth proportional to 309,980.54, 427,974.87 and 189,191.85 is: 261,207.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,980.54 : 427,974.87 = 189,191.85 : x
  2. Step 2: Convert to fraction form
    309,980.54/427,974.87 = 189,191.85/x
  3. Step 3: Cross multiply
    309,980.54x = 427,974.87 × 189,191.85
  4. Step 4: Simplify right side
    309,980.54x = 80,969,355,268.94
  5. Step 5: Solve for x
    x = 80,969,355,268.94/309,980.54
  6. Step 6: Final answer
    x = 261,207.87

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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.