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Finding the Fourth Proportional to 342,147.56, 472,160.79 and 189,192.42

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Solution

The fourth proportional to 342,147.56, 472,160.79 and 189,192.42 is: 261,083.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,147.56 : 472,160.79 = 189,192.42 : x
  2. Step 2: Convert to fraction form
    342,147.56/472,160.79 = 189,192.42/x
  3. Step 3: Cross multiply
    342,147.56x = 472,160.79 × 189,192.42
  4. Step 4: Simplify right side
    342,147.56x = 89,329,242,489.21
  5. Step 5: Solve for x
    x = 89,329,242,489.21/342,147.56
  6. Step 6: Final answer
    x = 261,083.97

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1.5x scale

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.