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Finding the Fourth Proportional to 225,358.28, 310,991.76 and 123,382.52

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Solution

The fourth proportional to 225,358.28, 310,991.76 and 123,382.52 is: 170,266.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,358.28 : 310,991.76 = 123,382.52 : x
  2. Step 2: Convert to fraction form
    225,358.28/310,991.76 = 123,382.52/x
  3. Step 3: Cross multiply
    225,358.28x = 310,991.76 × 123,382.52
  4. Step 4: Simplify right side
    225,358.28x = 38,370,947,048.04
  5. Step 5: Solve for x
    x = 38,370,947,048.04/225,358.28
  6. Step 6: Final answer
    x = 170,266.42

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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.