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Finding the Fourth Proportional to 225,382.34, 311,026.49 and 123,405.95

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Solution

The fourth proportional to 225,382.34, 311,026.49 and 123,405.95 is: 170,299.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,382.34 : 311,026.49 = 123,405.95 : x
  2. Step 2: Convert to fraction form
    225,382.34/311,026.49 = 123,405.95/x
  3. Step 3: Cross multiply
    225,382.34x = 311,026.49 × 123,405.95
  4. Step 4: Simplify right side
    225,382.34x = 38,382,517,301.45
  5. Step 5: Solve for x
    x = 38,382,517,301.45/225,382.34
  6. Step 6: Final answer
    x = 170,299.58

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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.