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Finding the Fourth Proportional to 775,441.13, 1,163,216.98 and 206,819

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Solution

The fourth proportional to 775,441.13, 1,163,216.98 and 206,819 is: 310,243.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,441.13 : 1,163,216.98 = 206,819 : x
  2. Step 2: Convert to fraction form
    775,441.13/1,163,216.98 = 206,819/x
  3. Step 3: Cross multiply
    775,441.13x = 1,163,216.98 × 206,819
  4. Step 4: Simplify right side
    775,441.13x = 240,575,372,586.62
  5. Step 5: Solve for x
    x = 240,575,372,586.62/775,441.13
  6. Step 6: Final answer
    x = 310,243.25

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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.