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Finding the Fourth Proportional to 303,986.71, 419,503.31 and 166,165.83

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Solution

The fourth proportional to 303,986.71, 419,503.31 and 166,165.83 is: 229,309.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,986.71 : 419,503.31 = 166,165.83 : x
  2. Step 2: Convert to fraction form
    303,986.71/419,503.31 = 166,165.83/x
  3. Step 3: Cross multiply
    303,986.71x = 419,503.31 × 166,165.83
  4. Step 4: Simplify right side
    303,986.71x = 69,707,115,693.90
  5. Step 5: Solve for x
    x = 69,707,115,693.90/303,986.71
  6. Step 6: Final answer
    x = 229,309.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.