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Finding the Fourth Proportional to 342,447.09, 472,469.85 and 206,522.61

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Solution

The fourth proportional to 342,447.09, 472,469.85 and 206,522.61 is: 284,936.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,447.09 : 472,469.85 = 206,522.61 : x
  2. Step 2: Convert to fraction form
    342,447.09/472,469.85 = 206,522.61/x
  3. Step 3: Cross multiply
    342,447.09x = 472,469.85 × 206,522.61
  4. Step 4: Simplify right side
    342,447.09x = 97,575,706,568.31
  5. Step 5: Solve for x
    x = 97,575,706,568.31/342,447.09
  6. Step 6: Final answer
    x = 284,936.59

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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.