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Finding the Fourth Proportional to 279,469.50, 385,765.11 and 166,289.82

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Solution

The fourth proportional to 279,469.50, 385,765.11 and 166,289.82 is: 229,537.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,469.50 : 385,765.11 = 166,289.82 : x
  2. Step 2: Convert to fraction form
    279,469.50/385,765.11 = 166,289.82/x
  3. Step 3: Cross multiply
    279,469.50x = 385,765.11 × 166,289.82
  4. Step 4: Simplify right side
    279,469.50x = 64,148,810,704.18
  5. Step 5: Solve for x
    x = 64,148,810,704.18/279,469.50
  6. Step 6: Final answer
    x = 229,537.79

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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.