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Finding the Fourth Proportional to 285,993.59, 394,676.21 and 156,938.41

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Solution

The fourth proportional to 285,993.59, 394,676.21 and 156,938.41 is: 216,577.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,993.59 : 394,676.21 = 156,938.41 : x
  2. Step 2: Convert to fraction form
    285,993.59/394,676.21 = 156,938.41/x
  3. Step 3: Cross multiply
    285,993.59x = 394,676.21 × 156,938.41
  4. Step 4: Simplify right side
    285,993.59x = 61,939,857,747.92
  5. Step 5: Solve for x
    x = 61,939,857,747.92/285,993.59
  6. Step 6: Final answer
    x = 216,577.79

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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.