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Finding the Fourth Proportional to 304,245.64, 419,730.42 and 203,676.04

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Solution

The fourth proportional to 304,245.64, 419,730.42 and 203,676.04 is: 280,986.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,245.64 : 419,730.42 = 203,676.04 : x
  2. Step 2: Convert to fraction form
    304,245.64/419,730.42 = 203,676.04/x
  3. Step 3: Cross multiply
    304,245.64x = 419,730.42 × 203,676.04
  4. Step 4: Simplify right side
    304,245.64x = 85,489,029,813.14
  5. Step 5: Solve for x
    x = 85,489,029,813.14/304,245.64
  6. Step 6: Final answer
    x = 280,986.87

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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.