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Finding the Fourth Proportional to 263,398.90, 394,938.36 and 103,283

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Solution

The fourth proportional to 263,398.90, 394,938.36 and 103,283 is: 154,861.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,398.90 : 394,938.36 = 103,283 : x
  2. Step 2: Convert to fraction form
    263,398.90/394,938.36 = 103,283/x
  3. Step 3: Cross multiply
    263,398.90x = 394,938.36 × 103,283
  4. Step 4: Simplify right side
    263,398.90x = 40,790,418,635.88
  5. Step 5: Solve for x
    x = 40,790,418,635.88/263,398.90
  6. Step 6: Final answer
    x = 154,861.77

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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.