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Finding the Fourth Proportional to 275,803.74, 380,609.19 and 154,945.02

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Solution

The fourth proportional to 275,803.74, 380,609.19 and 154,945.02 is: 213,824.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,803.74 : 380,609.19 = 154,945.02 : x
  2. Step 2: Convert to fraction form
    275,803.74/380,609.19 = 154,945.02/x
  3. Step 3: Cross multiply
    275,803.74x = 380,609.19 × 154,945.02
  4. Step 4: Simplify right side
    275,803.74x = 58,973,498,556.73
  5. Step 5: Solve for x
    x = 58,973,498,556.73/275,803.74
  6. Step 6: Final answer
    x = 213,824.14

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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.