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Finding the Fourth Proportional to 225,447.84, 311,121.54 and 123,471.36

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Solution

The fourth proportional to 225,447.84, 311,121.54 and 123,471.36 is: 170,392.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,447.84 : 311,121.54 = 123,471.36 : x
  2. Step 2: Convert to fraction form
    225,447.84/311,121.54 = 123,471.36/x
  3. Step 3: Cross multiply
    225,447.84x = 311,121.54 × 123,471.36
  4. Step 4: Simplify right side
    225,447.84x = 38,414,599,669.09
  5. Step 5: Solve for x
    x = 38,414,599,669.09/225,447.84
  6. Step 6: Final answer
    x = 170,392.41

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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.