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Finding the Fourth Proportional to 225,865.70, 311,838.22 and 201,624.18

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Solution

The fourth proportional to 225,865.70, 311,838.22 and 201,624.18 is: 278,369.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,865.70 : 311,838.22 = 201,624.18 : x
  2. Step 2: Convert to fraction form
    225,865.70/311,838.22 = 201,624.18/x
  3. Step 3: Cross multiply
    225,865.70x = 311,838.22 × 201,624.18
  4. Step 4: Simplify right side
    225,865.70x = 62,874,124,482.80
  5. Step 5: Solve for x
    x = 62,874,124,482.80/225,865.70
  6. Step 6: Final answer
    x = 278,369.51

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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.