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Finding the Fourth Proportional to 275,500, 380,159.58 and 154,613.56

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Solution

The fourth proportional to 275,500, 380,159.58 and 154,613.56 is: 213,349.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,500 : 380,159.58 = 154,613.56 : x
  2. Step 2: Convert to fraction form
    275,500/380,159.58 = 154,613.56/x
  3. Step 3: Cross multiply
    275,500x = 380,159.58 × 154,613.56
  4. Step 4: Simplify right side
    275,500x = 58,777,826,031.90
  5. Step 5: Solve for x
    x = 58,777,826,031.90/275,500
  6. Step 6: Final answer
    x = 213,349.64

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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.