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Finding the Fourth Proportional to 312,942.89, 431,861.30 and 169,702.89

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Solution

The fourth proportional to 312,942.89, 431,861.30 and 169,702.89 is: 234,190.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,942.89 : 431,861.30 = 169,702.89 : x
  2. Step 2: Convert to fraction form
    312,942.89/431,861.30 = 169,702.89/x
  3. Step 3: Cross multiply
    312,942.89x = 431,861.30 × 169,702.89
  4. Step 4: Simplify right side
    312,942.89x = 73,288,110,804.73
  5. Step 5: Solve for x
    x = 73,288,110,804.73/312,942.89
  6. Step 6: Final answer
    x = 234,190.05

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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.