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Finding the Fourth Proportional to 342,716.68, 472,963.79 and 189,754.86

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Solution

The fourth proportional to 342,716.68, 472,963.79 and 189,754.86 is: 261,869.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,716.68 : 472,963.79 = 189,754.86 : x
  2. Step 2: Convert to fraction form
    342,716.68/472,963.79 = 189,754.86/x
  3. Step 3: Cross multiply
    342,716.68x = 472,963.79 × 189,754.86
  4. Step 4: Simplify right side
    342,716.68x = 89,747,180,004.52
  5. Step 5: Solve for x
    x = 89,747,180,004.52/342,716.68
  6. Step 6: Final answer
    x = 261,869.89

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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.