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Finding the Fourth Proportional to 312,186.29, 430,817.84 and 168,947.37

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Solution

The fourth proportional to 312,186.29, 430,817.84 and 168,947.37 is: 233,147.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,186.29 : 430,817.84 = 168,947.37 : x
  2. Step 2: Convert to fraction form
    312,186.29/430,817.84 = 168,947.37/x
  3. Step 3: Cross multiply
    312,186.29x = 430,817.84 × 168,947.37
  4. Step 4: Simplify right side
    312,186.29x = 72,785,540,805.90
  5. Step 5: Solve for x
    x = 72,785,540,805.90/312,186.29
  6. Step 6: Final answer
    x = 233,147.78

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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.