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Finding the Fourth Proportional to 378,756.09, 568,199.75 and 168,410.43

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Solution

The fourth proportional to 378,756.09, 568,199.75 and 168,410.43 is: 252,644.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,756.09 : 568,199.75 = 168,410.43 : x
  2. Step 2: Convert to fraction form
    378,756.09/568,199.75 = 168,410.43/x
  3. Step 3: Cross multiply
    378,756.09x = 568,199.75 × 168,410.43
  4. Step 4: Simplify right side
    378,756.09x = 95,690,763,381.34
  5. Step 5: Solve for x
    x = 95,690,763,381.34/378,756.09
  6. Step 6: Final answer
    x = 252,644.82

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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.