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Finding the Fourth Proportional to 371,758.20, 513,007.20 and 201,991.92

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Solution

The fourth proportional to 371,758.20, 513,007.20 and 201,991.92 is: 278,738.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,758.20 : 513,007.20 = 201,991.92 : x
  2. Step 2: Convert to fraction form
    371,758.20/513,007.20 = 201,991.92/x
  3. Step 3: Cross multiply
    371,758.20x = 513,007.20 × 201,991.92
  4. Step 4: Simplify right side
    371,758.20x = 103,623,309,301.82
  5. Step 5: Solve for x
    x = 103,623,309,301.82/371,758.20
  6. Step 6: Final answer
    x = 278,738.46

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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.