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Finding the Fourth Proportional to 371,406.42, 512,540.85 and 201,640.56

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Solution

The fourth proportional to 371,406.42, 512,540.85 and 201,640.56 is: 278,263.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,406.42 : 512,540.85 = 201,640.56 : x
  2. Step 2: Convert to fraction form
    371,406.42/512,540.85 = 201,640.56/x
  3. Step 3: Cross multiply
    371,406.42x = 512,540.85 × 201,640.56
  4. Step 4: Simplify right side
    371,406.42x = 103,349,024,016.88
  5. Step 5: Solve for x
    x = 103,349,024,016.88/371,406.42
  6. Step 6: Final answer
    x = 278,263.97

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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.