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Finding the Fourth Proportional to 342,091.97, 472,072.98 and 189,120.43

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Solution

The fourth proportional to 342,091.97, 472,072.98 and 189,120.43 is: 260,978.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,091.97 : 472,072.98 = 189,120.43 : x
  2. Step 2: Convert to fraction form
    342,091.97/472,072.98 = 189,120.43/x
  3. Step 3: Cross multiply
    342,091.97x = 472,072.98 × 189,120.43
  4. Step 4: Simplify right side
    342,091.97x = 89,278,644,968.98
  5. Step 5: Solve for x
    x = 89,278,644,968.98/342,091.97
  6. Step 6: Final answer
    x = 260,978.49

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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.