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Finding the Fourth Proportional to 275,507.10, 380,238.18 and 153,027

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Solution

The fourth proportional to 275,507.10, 380,238.18 and 153,027 is: 211,198.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,507.10 : 380,238.18 = 153,027 : x
  2. Step 2: Convert to fraction form
    275,507.10/380,238.18 = 153,027/x
  3. Step 3: Cross multiply
    275,507.10x = 380,238.18 × 153,027
  4. Step 4: Simplify right side
    275,507.10x = 58,186,707,970.86
  5. Step 5: Solve for x
    x = 58,186,707,970.86/275,507.10
  6. Step 6: Final answer
    x = 211,198.58

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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.