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Finding the Fourth Proportional to 521,568.55, 782,352.83 and 284,782.06

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Solution

The fourth proportional to 521,568.55, 782,352.83 and 284,782.06 is: 427,173.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,568.55 : 782,352.83 = 284,782.06 : x
  2. Step 2: Convert to fraction form
    521,568.55/782,352.83 = 284,782.06/x
  3. Step 3: Cross multiply
    521,568.55x = 782,352.83 × 284,782.06
  4. Step 4: Simplify right side
    521,568.55x = 222,800,049,330.30
  5. Step 5: Solve for x
    x = 222,800,049,330.30/521,568.55
  6. Step 6: Final answer
    x = 427,173.09

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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.