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Finding the Fourth Proportional to 277,408.22, 382,859.72 and 205,992.14

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Solution

The fourth proportional to 277,408.22, 382,859.72 and 205,992.14 is: 284,296.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,408.22 : 382,859.72 = 205,992.14 : x
  2. Step 2: Convert to fraction form
    277,408.22/382,859.72 = 205,992.14/x
  3. Step 3: Cross multiply
    277,408.22x = 382,859.72 × 205,992.14
  4. Step 4: Simplify right side
    277,408.22x = 78,866,093,042.60
  5. Step 5: Solve for x
    x = 78,866,093,042.60/277,408.22
  6. Step 6: Final answer
    x = 284,296.16

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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.