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Finding the Fourth Proportional to 228,801.81, 343,202.87 and 199,240.56

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Solution

The fourth proportional to 228,801.81, 343,202.87 and 199,240.56 is: 298,860.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,801.81 : 343,202.87 = 199,240.56 : x
  2. Step 2: Convert to fraction form
    228,801.81/343,202.87 = 199,240.56/x
  3. Step 3: Cross multiply
    228,801.81x = 343,202.87 × 199,240.56
  4. Step 4: Simplify right side
    228,801.81x = 68,379,932,510.51
  5. Step 5: Solve for x
    x = 68,379,932,510.51/228,801.81
  6. Step 6: Final answer
    x = 298,860.97

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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.