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Finding the Fourth Proportional to 378,965.10, 568,163.31 and 229,174.71

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Solution

The fourth proportional to 378,965.10, 568,163.31 and 229,174.71 is: 343,590.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,965.10 : 568,163.31 = 229,174.71 : x
  2. Step 2: Convert to fraction form
    378,965.10/568,163.31 = 229,174.71/x
  3. Step 3: Cross multiply
    378,965.10x = 568,163.31 × 229,174.71
  4. Step 4: Simplify right side
    378,965.10x = 130,208,661,801.89
  5. Step 5: Solve for x
    x = 130,208,661,801.89/378,965.10
  6. Step 6: Final answer
    x = 343,590.11

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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.