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Finding the Fourth Proportional to 225,356.09, 311,202.14 and 144,923.24

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Solution

The fourth proportional to 225,356.09, 311,202.14 and 144,923.24 is: 200,129.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,356.09 : 311,202.14 = 144,923.24 : x
  2. Step 2: Convert to fraction form
    225,356.09/311,202.14 = 144,923.24/x
  3. Step 3: Cross multiply
    225,356.09x = 311,202.14 × 144,923.24
  4. Step 4: Simplify right side
    225,356.09x = 45,100,420,726.61
  5. Step 5: Solve for x
    x = 45,100,420,726.61/225,356.09
  6. Step 6: Final answer
    x = 200,129.59

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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.