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Finding the Fourth Proportional to 378,907.43, 568,467.75 and 165,694.05

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Solution

The fourth proportional to 378,907.43, 568,467.75 and 165,694.05 is: 248,587.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,907.43 : 568,467.75 = 165,694.05 : x
  2. Step 2: Convert to fraction form
    378,907.43/568,467.75 = 165,694.05/x
  3. Step 3: Cross multiply
    378,907.43x = 568,467.75 × 165,694.05
  4. Step 4: Simplify right side
    378,907.43x = 94,191,723,791.89
  5. Step 5: Solve for x
    x = 94,191,723,791.89/378,907.43
  6. Step 6: Final answer
    x = 248,587.70

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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.