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Finding the Fourth Proportional to 342,134.16, 472,126 and 189,163.44

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Solution

The fourth proportional to 342,134.16, 472,126 and 189,163.44 is: 261,034.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,134.16 : 472,126 = 189,163.44 : x
  2. Step 2: Convert to fraction form
    342,134.16/472,126 = 189,163.44/x
  3. Step 3: Cross multiply
    342,134.16x = 472,126 × 189,163.44
  4. Step 4: Simplify right side
    342,134.16x = 89,308,978,273.44
  5. Step 5: Solve for x
    x = 89,308,978,273.44/342,134.16
  6. Step 6: Final answer
    x = 261,034.96

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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.