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Finding the Fourth Proportional to 520,268, 780,043.44 and 204,761.12

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Solution

The fourth proportional to 520,268, 780,043.44 and 204,761.12 is: 307,000.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,268 : 780,043.44 = 204,761.12 : x
  2. Step 2: Convert to fraction form
    520,268/780,043.44 = 204,761.12/x
  3. Step 3: Cross multiply
    520,268x = 780,043.44 × 204,761.12
  4. Step 4: Simplify right side
    520,268x = 159,722,568,423.05
  5. Step 5: Solve for x
    x = 159,722,568,423.05/520,268
  6. Step 6: Final answer
    x = 307,000.56

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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.