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Finding the Fourth Proportional to 446,757.86, 669,174.47 and 209,745.38

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Solution

The fourth proportional to 446,757.86, 669,174.47 and 209,745.38 is: 314,166.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,757.86 : 669,174.47 = 209,745.38 : x
  2. Step 2: Convert to fraction form
    446,757.86/669,174.47 = 209,745.38/x
  3. Step 3: Cross multiply
    446,757.86x = 669,174.47 × 209,745.38
  4. Step 4: Simplify right side
    446,757.86x = 140,356,253,496.45
  5. Step 5: Solve for x
    x = 140,356,253,496.45/446,757.86
  6. Step 6: Final answer
    x = 314,166.28

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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.