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Finding the Fourth Proportional to 287,528.86, 396,791.45 and 166,741.86

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Solution

The fourth proportional to 287,528.86, 396,791.45 and 166,741.86 is: 230,104.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,528.86 : 396,791.45 = 166,741.86 : x
  2. Step 2: Convert to fraction form
    287,528.86/396,791.45 = 166,741.86/x
  3. Step 3: Cross multiply
    287,528.86x = 396,791.45 × 166,741.86
  4. Step 4: Simplify right side
    287,528.86x = 66,161,744,196.67
  5. Step 5: Solve for x
    x = 66,161,744,196.67/287,528.86
  6. Step 6: Final answer
    x = 230,104.71

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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.