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Finding the Fourth Proportional to 381,028.92, 571,426.56 and 263,455.80

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Solution

The fourth proportional to 381,028.92, 571,426.56 and 263,455.80 is: 395,102.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,028.92 : 571,426.56 = 263,455.80 : x
  2. Step 2: Convert to fraction form
    381,028.92/571,426.56 = 263,455.80/x
  3. Step 3: Cross multiply
    381,028.92x = 571,426.56 × 263,455.80
  4. Step 4: Simplify right side
    381,028.92x = 150,545,641,506.05
  5. Step 5: Solve for x
    x = 150,545,641,506.05/381,028.92
  6. Step 6: Final answer
    x = 395,102.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.