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Finding the Fourth Proportional to 371,661.96, 512,868 and 201,892.44

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Solution

The fourth proportional to 371,661.96, 512,868 and 201,892.44 is: 278,597.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,661.96 : 512,868 = 201,892.44 : x
  2. Step 2: Convert to fraction form
    371,661.96/512,868 = 201,892.44/x
  3. Step 3: Cross multiply
    371,661.96x = 512,868 × 201,892.44
  4. Step 4: Simplify right side
    371,661.96x = 103,544,171,917.92
  5. Step 5: Solve for x
    x = 103,544,171,917.92/371,661.96
  6. Step 6: Final answer
    x = 278,597.71

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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.