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Finding the Fourth Proportional to 516,896.88, 775,345.49 and 213,286.60

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Solution

The fourth proportional to 516,896.88, 775,345.49 and 213,286.60 is: 319,929.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,896.88 : 775,345.49 = 213,286.60 : x
  2. Step 2: Convert to fraction form
    516,896.88/775,345.49 = 213,286.60/x
  3. Step 3: Cross multiply
    516,896.88x = 775,345.49 × 213,286.60
  4. Step 4: Simplify right side
    516,896.88x = 165,370,803,387.43
  5. Step 5: Solve for x
    x = 165,370,803,387.43/516,896.88
  6. Step 6: Final answer
    x = 319,929.97

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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.