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Finding the Fourth Proportional to 275,817.85, 380,605.30 and 154,949.65

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Solution

The fourth proportional to 275,817.85, 380,605.30 and 154,949.65 is: 213,817.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,817.85 : 380,605.30 = 154,949.65 : x
  2. Step 2: Convert to fraction form
    275,817.85/380,605.30 = 154,949.65/x
  3. Step 3: Cross multiply
    275,817.85x = 380,605.30 × 154,949.65
  4. Step 4: Simplify right side
    275,817.85x = 58,974,658,023.15
  5. Step 5: Solve for x
    x = 58,974,658,023.15/275,817.85
  6. Step 6: Final answer
    x = 213,817.41

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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.