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Finding the Fourth Proportional to 513,606.12, 769,991.76 and 214,309.86

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Solution

The fourth proportional to 513,606.12, 769,991.76 and 214,309.86 is: 321,290.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,606.12 : 769,991.76 = 214,309.86 : x
  2. Step 2: Convert to fraction form
    513,606.12/769,991.76 = 214,309.86/x
  3. Step 3: Cross multiply
    513,606.12x = 769,991.76 × 214,309.86
  4. Step 4: Simplify right side
    513,606.12x = 165,016,826,286.75
  5. Step 5: Solve for x
    x = 165,016,826,286.75/513,606.12
  6. Step 6: Final answer
    x = 321,290.62

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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.