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Finding the Fourth Proportional to 427,231.38, 641,162.48 and 202,592.58

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Solution

The fourth proportional to 427,231.38, 641,162.48 and 202,592.58 is: 304,038.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,231.38 : 641,162.48 = 202,592.58 : x
  2. Step 2: Convert to fraction form
    427,231.38/641,162.48 = 202,592.58/x
  3. Step 3: Cross multiply
    427,231.38x = 641,162.48 × 202,592.58
  4. Step 4: Simplify right side
    427,231.38x = 129,894,757,605.08
  5. Step 5: Solve for x
    x = 129,894,757,605.08/427,231.38
  6. Step 6: Final answer
    x = 304,038.43

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