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Finding the Fourth Proportional to 315,175.50, 434,942.19 and 201,998.25

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Solution

The fourth proportional to 315,175.50, 434,942.19 and 201,998.25 is: 278,757.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,175.50 : 434,942.19 = 201,998.25 : x
  2. Step 2: Convert to fraction form
    315,175.50/434,942.19 = 201,998.25/x
  3. Step 3: Cross multiply
    315,175.50x = 434,942.19 × 201,998.25
  4. Step 4: Simplify right side
    315,175.50x = 87,857,561,231.17
  5. Step 5: Solve for x
    x = 87,857,561,231.17/315,175.50
  6. Step 6: Final answer
    x = 278,757.59

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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.