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Finding the Fourth Proportional to 225,372.50, 311,004.41 and 123,396.09

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Solution

The fourth proportional to 225,372.50, 311,004.41 and 123,396.09 is: 170,281.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,372.50 : 311,004.41 = 123,396.09 : x
  2. Step 2: Convert to fraction form
    225,372.50/311,004.41 = 123,396.09/x
  3. Step 3: Cross multiply
    225,372.50x = 311,004.41 × 123,396.09
  4. Step 4: Simplify right side
    225,372.50x = 38,376,727,549.78
  5. Step 5: Solve for x
    x = 38,376,727,549.78/225,372.50
  6. Step 6: Final answer
    x = 170,281.33

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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.