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Finding the Fourth Proportional to 285,129.39, 427,221.81 and 200,475.96

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Solution

The fourth proportional to 285,129.39, 427,221.81 and 200,475.96 is: 300,381.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,129.39 : 427,221.81 = 200,475.96 : x
  2. Step 2: Convert to fraction form
    285,129.39/427,221.81 = 200,475.96/x
  3. Step 3: Cross multiply
    285,129.39x = 427,221.81 × 200,475.96
  4. Step 4: Simplify right side
    285,129.39x = 85,647,702,492.69
  5. Step 5: Solve for x
    x = 85,647,702,492.69/285,129.39
  6. Step 6: Final answer
    x = 300,381.88

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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.