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Finding the Fourth Proportional to 312,942.70, 431,861.04 and 169,702.70

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Solution

The fourth proportional to 312,942.70, 431,861.04 and 169,702.70 is: 234,189.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,942.70 : 431,861.04 = 169,702.70 : x
  2. Step 2: Convert to fraction form
    312,942.70/431,861.04 = 169,702.70/x
  3. Step 3: Cross multiply
    312,942.70x = 431,861.04 × 169,702.70
  4. Step 4: Simplify right side
    312,942.70x = 73,287,985,758.69
  5. Step 5: Solve for x
    x = 73,287,985,758.69/312,942.70
  6. Step 6: Final answer
    x = 234,189.79

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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.