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Finding the Fourth Proportional to 315,791.10, 474,023.88 and 135,965.52

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Solution

The fourth proportional to 315,791.10, 474,023.88 and 135,965.52 is: 204,093.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,791.10 : 474,023.88 = 135,965.52 : x
  2. Step 2: Convert to fraction form
    315,791.10/474,023.88 = 135,965.52/x
  3. Step 3: Cross multiply
    315,791.10x = 474,023.88 × 135,965.52
  4. Step 4: Simplify right side
    315,791.10x = 64,450,903,336.62
  5. Step 5: Solve for x
    x = 64,450,903,336.62/315,791.10
  6. Step 6: Final answer
    x = 204,093.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.