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Finding the Fourth Proportional to 275,434.16, 380,105.93 and 154,584.65

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Solution

The fourth proportional to 275,434.16, 380,105.93 and 154,584.65 is: 213,330.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,434.16 : 380,105.93 = 154,584.65 : x
  2. Step 2: Convert to fraction form
    275,434.16/380,105.93 = 154,584.65/x
  3. Step 3: Cross multiply
    275,434.16x = 380,105.93 × 154,584.65
  4. Step 4: Simplify right side
    275,434.16x = 58,758,543,488.70
  5. Step 5: Solve for x
    x = 58,758,543,488.70/275,434.16
  6. Step 6: Final answer
    x = 213,330.64

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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.