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Finding the Fourth Proportional to 315,431.87, 434,191.11 and 275,074.43

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Solution

The fourth proportional to 315,431.87, 434,191.11 and 275,074.43 is: 378,639.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,431.87 : 434,191.11 = 275,074.43 : x
  2. Step 2: Convert to fraction form
    315,431.87/434,191.11 = 275,074.43/x
  3. Step 3: Cross multiply
    315,431.87x = 434,191.11 × 275,074.43
  4. Step 4: Simplify right side
    315,431.87x = 119,434,872,107.80
  5. Step 5: Solve for x
    x = 119,434,872,107.80/315,431.87
  6. Step 6: Final answer
    x = 378,639.20

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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.