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Finding the Fourth Proportional to 289,414.62, 399,531.01 and 203,447.29

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Solution

The fourth proportional to 289,414.62, 399,531.01 and 203,447.29 is: 280,854.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,414.62 : 399,531.01 = 203,447.29 : x
  2. Step 2: Convert to fraction form
    289,414.62/399,531.01 = 203,447.29/x
  3. Step 3: Cross multiply
    289,414.62x = 399,531.01 × 203,447.29
  4. Step 4: Simplify right side
    289,414.62x = 81,283,501,255.46
  5. Step 5: Solve for x
    x = 81,283,501,255.46/289,414.62
  6. Step 6: Final answer
    x = 280,854.86

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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.