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Finding the Fourth Proportional to 288,367.35, 397,945.63 and 159,305.86

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Solution

The fourth proportional to 288,367.35, 397,945.63 and 159,305.86 is: 219,841.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,367.35 : 397,945.63 = 159,305.86 : x
  2. Step 2: Convert to fraction form
    288,367.35/397,945.63 = 159,305.86/x
  3. Step 3: Cross multiply
    288,367.35x = 397,945.63 × 159,305.86
  4. Step 4: Simplify right side
    288,367.35x = 63,395,070,820.39
  5. Step 5: Solve for x
    x = 63,395,070,820.39/288,367.35
  6. Step 6: Final answer
    x = 219,841.36

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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.