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Finding the Fourth Proportional to 275,772, 380,523.91 and 154,890.13

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Solution

The fourth proportional to 275,772, 380,523.91 and 154,890.13 is: 213,725.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,772 : 380,523.91 = 154,890.13 : x
  2. Step 2: Convert to fraction form
    275,772/380,523.91 = 154,890.13/x
  3. Step 3: Cross multiply
    275,772x = 380,523.91 × 154,890.13
  4. Step 4: Simplify right side
    275,772x = 58,939,397,113.56
  5. Step 5: Solve for x
    x = 58,939,397,113.56/275,772
  6. Step 6: Final answer
    x = 213,725.10

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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.