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Finding the Fourth Proportional to 305,777.68, 422,184.32 and 191,107.87

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Solution

The fourth proportional to 305,777.68, 422,184.32 and 191,107.87 is: 263,860.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,777.68 : 422,184.32 = 191,107.87 : x
  2. Step 2: Convert to fraction form
    305,777.68/422,184.32 = 191,107.87/x
  3. Step 3: Cross multiply
    305,777.68x = 422,184.32 × 191,107.87
  4. Step 4: Simplify right side
    305,777.68x = 80,682,746,142.60
  5. Step 5: Solve for x
    x = 80,682,746,142.60/305,777.68
  6. Step 6: Final answer
    x = 263,860.81

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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.