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Finding the Fourth Proportional to 371,286.12, 512,375.31 and 201,520.29

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Solution

The fourth proportional to 371,286.12, 512,375.31 and 201,520.29 is: 278,098.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,286.12 : 512,375.31 = 201,520.29 : x
  2. Step 2: Convert to fraction form
    371,286.12/512,375.31 = 201,520.29/x
  3. Step 3: Cross multiply
    371,286.12x = 512,375.31 × 201,520.29
  4. Step 4: Simplify right side
    371,286.12x = 103,254,021,060.04
  5. Step 5: Solve for x
    x = 103,254,021,060.04/371,286.12
  6. Step 6: Final answer
    x = 278,098.25

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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.