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Finding the Fourth Proportional to 547,617.81, 821,720.79 and 227,990.31

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Solution

The fourth proportional to 547,617.81, 821,720.79 and 227,990.31 is: 342,107.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,617.81 : 821,720.79 = 227,990.31 : x
  2. Step 2: Convert to fraction form
    547,617.81/821,720.79 = 227,990.31/x
  3. Step 3: Cross multiply
    547,617.81x = 821,720.79 × 227,990.31
  4. Step 4: Simplify right side
    547,617.81x = 187,344,375,399.03
  5. Step 5: Solve for x
    x = 187,344,375,399.03/547,617.81
  6. Step 6: Final answer
    x = 342,107.89

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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.