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Finding the Fourth Proportional to 283,456.46, 391,170.45 and 154,394.54

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Solution

The fourth proportional to 283,456.46, 391,170.45 and 154,394.54 is: 213,064.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,456.46 : 391,170.45 = 154,394.54 : x
  2. Step 2: Convert to fraction form
    283,456.46/391,170.45 = 154,394.54/x
  3. Step 3: Cross multiply
    283,456.46x = 391,170.45 × 154,394.54
  4. Step 4: Simplify right side
    283,456.46x = 60,394,580,910.89
  5. Step 5: Solve for x
    x = 60,394,580,910.89/283,456.46
  6. Step 6: Final answer
    x = 213,064.75

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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.