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Finding the Fourth Proportional to 516,806.88, 775,216.32 and 137,725.44

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Solution

The fourth proportional to 516,806.88, 775,216.32 and 137,725.44 is: 206,589.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,806.88 : 775,216.32 = 137,725.44 : x
  2. Step 2: Convert to fraction form
    516,806.88/775,216.32 = 137,725.44/x
  3. Step 3: Cross multiply
    516,806.88x = 775,216.32 × 137,725.44
  4. Step 4: Simplify right side
    516,806.88x = 106,767,008,767.18
  5. Step 5: Solve for x
    x = 106,767,008,767.18/516,806.88
  6. Step 6: Final answer
    x = 206,589.76

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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.