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Finding the Fourth Proportional to 309,998.47, 427,844.58 and 189,209.95

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Solution

The fourth proportional to 309,998.47, 427,844.58 and 189,209.95 is: 261,138.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,998.47 : 427,844.58 = 189,209.95 : x
  2. Step 2: Convert to fraction form
    309,998.47/427,844.58 = 189,209.95/x
  3. Step 3: Cross multiply
    309,998.47x = 427,844.58 × 189,209.95
  4. Step 4: Simplify right side
    309,998.47x = 80,952,451,589.57
  5. Step 5: Solve for x
    x = 80,952,451,589.57/309,998.47
  6. Step 6: Final answer
    x = 261,138.23

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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.