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Finding the Fourth Proportional to 381,284.87, 571,389.69 and 210,583.54

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Solution

The fourth proportional to 381,284.87, 571,389.69 and 210,583.54 is: 315,578.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,284.87 : 571,389.69 = 210,583.54 : x
  2. Step 2: Convert to fraction form
    381,284.87/571,389.69 = 210,583.54/x
  3. Step 3: Cross multiply
    381,284.87x = 571,389.69 × 210,583.54
  4. Step 4: Simplify right side
    381,284.87x = 120,325,265,143.63
  5. Step 5: Solve for x
    x = 120,325,265,143.63/381,284.87
  6. Step 6: Final answer
    x = 315,578.39

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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.