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Finding the Fourth Proportional to 288,369.86, 397,951.26 and 161,050.28

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Solution

The fourth proportional to 288,369.86, 397,951.26 and 161,050.28 is: 222,249.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,369.86 : 397,951.26 = 161,050.28 : x
  2. Step 2: Convert to fraction form
    288,369.86/397,951.26 = 161,050.28/x
  3. Step 3: Cross multiply
    288,369.86x = 397,951.26 × 161,050.28
  4. Step 4: Simplify right side
    288,369.86x = 64,090,161,849.35
  5. Step 5: Solve for x
    x = 64,090,161,849.35/288,369.86
  6. Step 6: Final answer
    x = 222,249.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.