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Finding the Fourth Proportional to 505,757.21, 758,745.17 and 269,065.49

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Solution

The fourth proportional to 505,757.21, 758,745.17 and 269,065.49 is: 403,656.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,757.21 : 758,745.17 = 269,065.49 : x
  2. Step 2: Convert to fraction form
    505,757.21/758,745.17 = 269,065.49/x
  3. Step 3: Cross multiply
    505,757.21x = 758,745.17 × 269,065.49
  4. Step 4: Simplify right side
    505,757.21x = 204,152,139,605.86
  5. Step 5: Solve for x
    x = 204,152,139,605.86/505,757.21
  6. Step 6: Final answer
    x = 403,656.41

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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.