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Finding the Fourth Proportional to 305,896.20, 422,062.90 and 178,499.08

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Solution

The fourth proportional to 305,896.20, 422,062.90 and 178,499.08 is: 246,285.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,896.20 : 422,062.90 = 178,499.08 : x
  2. Step 2: Convert to fraction form
    305,896.20/422,062.90 = 178,499.08/x
  3. Step 3: Cross multiply
    305,896.20x = 422,062.90 × 178,499.08
  4. Step 4: Simplify right side
    305,896.20x = 75,337,839,352.13
  5. Step 5: Solve for x
    x = 75,337,839,352.13/305,896.20
  6. Step 6: Final answer
    x = 246,285.63

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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.