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Finding the Fourth Proportional to 408,659.70, 612,983.38 and 183,861.38

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Solution

The fourth proportional to 408,659.70, 612,983.38 and 183,861.38 is: 275,789.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,659.70 : 612,983.38 = 183,861.38 : x
  2. Step 2: Convert to fraction form
    408,659.70/612,983.38 = 183,861.38/x
  3. Step 3: Cross multiply
    408,659.70x = 612,983.38 × 183,861.38
  4. Step 4: Simplify right side
    408,659.70x = 112,703,970,163.86
  5. Step 5: Solve for x
    x = 112,703,970,163.86/408,659.70
  6. Step 6: Final answer
    x = 275,789.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.