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Finding the Fourth Proportional to 378,999.86, 568,796.80 and 264,402.42

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Solution

The fourth proportional to 378,999.86, 568,796.80 and 264,402.42 is: 396,810.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,999.86 : 568,796.80 = 264,402.42 : x
  2. Step 2: Convert to fraction form
    378,999.86/568,796.80 = 264,402.42/x
  3. Step 3: Cross multiply
    378,999.86x = 568,796.80 × 264,402.42
  4. Step 4: Simplify right side
    378,999.86x = 150,391,250,408.26
  5. Step 5: Solve for x
    x = 150,391,250,408.26/378,999.86
  6. Step 6: Final answer
    x = 396,810.83

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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.