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Finding the Fourth Proportional to 371,758.44, 513,019.26 and 201,993.78

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Solution

The fourth proportional to 371,758.44, 513,019.26 and 201,993.78 is: 278,747.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,758.44 : 513,019.26 = 201,993.78 : x
  2. Step 2: Convert to fraction form
    371,758.44/513,019.26 = 201,993.78/x
  3. Step 3: Cross multiply
    371,758.44x = 513,019.26 × 201,993.78
  4. Step 4: Simplify right side
    371,758.44x = 103,626,699,540.20
  5. Step 5: Solve for x
    x = 103,626,699,540.20/371,758.44
  6. Step 6: Final answer
    x = 278,747.40

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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.