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Finding the Fourth Proportional to 521,583.69, 782,375.54 and 284,797.20

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Solution

The fourth proportional to 521,583.69, 782,375.54 and 284,797.20 is: 427,195.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,583.69 : 782,375.54 = 284,797.20 : x
  2. Step 2: Convert to fraction form
    521,583.69/782,375.54 = 284,797.20/x
  3. Step 3: Cross multiply
    521,583.69x = 782,375.54 × 284,797.20
  4. Step 4: Simplify right side
    521,583.69x = 222,818,363,140.49
  5. Step 5: Solve for x
    x = 222,818,363,140.49/521,583.69
  6. Step 6: Final answer
    x = 427,195.80

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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.