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Finding the Fourth Proportional to 342,142.22, 472,147.92 and 189,176.54

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Solution

The fourth proportional to 342,142.22, 472,147.92 and 189,176.54 is: 261,059.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,142.22 : 472,147.92 = 189,176.54 : x
  2. Step 2: Convert to fraction form
    342,142.22/472,147.92 = 189,176.54/x
  3. Step 3: Cross multiply
    342,142.22x = 472,147.92 × 189,176.54
  4. Step 4: Simplify right side
    342,142.22x = 89,319,309,873.80
  5. Step 5: Solve for x
    x = 89,319,309,873.80/342,142.22
  6. Step 6: Final answer
    x = 261,059.01

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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.