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Finding the Fourth Proportional to 381,265.47, 571,499.13 and 128,458.62

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Solution

The fourth proportional to 381,265.47, 571,499.13 and 128,458.62 is: 192,553.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,265.47 : 571,499.13 = 128,458.62 : x
  2. Step 2: Convert to fraction form
    381,265.47/571,499.13 = 128,458.62/x
  3. Step 3: Cross multiply
    381,265.47x = 571,499.13 × 128,458.62
  4. Step 4: Simplify right side
    381,265.47x = 73,413,989,571.00
  5. Step 5: Solve for x
    x = 73,413,989,571.00/381,265.47
  6. Step 6: Final answer
    x = 192,553.47

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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.