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Finding the Fourth Proportional to 342,717.68, 472,965.17 and 189,755.86

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Solution

The fourth proportional to 342,717.68, 472,965.17 and 189,755.86 is: 261,871.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,717.68 : 472,965.17 = 189,755.86 : x
  2. Step 2: Convert to fraction form
    342,717.68/472,965.17 = 189,755.86/x
  3. Step 3: Cross multiply
    342,717.68x = 472,965.17 × 189,755.86
  4. Step 4: Simplify right side
    342,717.68x = 89,747,912,583.40
  5. Step 5: Solve for x
    x = 89,747,912,583.40/342,717.68
  6. Step 6: Final answer
    x = 261,871.27

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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.