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Finding the Fourth Proportional to 351,874.20, 485,651.40 and 200,971.20

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Solution

The fourth proportional to 351,874.20, 485,651.40 and 200,971.20 is: 277,377.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,874.20 : 485,651.40 = 200,971.20 : x
  2. Step 2: Convert to fraction form
    351,874.20/485,651.40 = 200,971.20/x
  3. Step 3: Cross multiply
    351,874.20x = 485,651.40 × 200,971.20
  4. Step 4: Simplify right side
    351,874.20x = 97,601,944,639.68
  5. Step 5: Solve for x
    x = 97,601,944,639.68/351,874.20
  6. Step 6: Final answer
    x = 277,377.38

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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.