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Finding the Fourth Proportional to 516,866.49, 775,238.18 and 137,815.65

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Solution

The fourth proportional to 516,866.49, 775,238.18 and 137,815.65 is: 206,707.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,866.49 : 775,238.18 = 137,815.65 : x
  2. Step 2: Convert to fraction form
    516,866.49/775,238.18 = 137,815.65/x
  3. Step 3: Cross multiply
    516,866.49x = 775,238.18 × 137,815.65
  4. Step 4: Simplify right side
    516,866.49x = 106,839,952,992.44
  5. Step 5: Solve for x
    x = 106,839,952,992.44/516,866.49
  6. Step 6: Final answer
    x = 206,707.06

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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.