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Finding the Fourth Proportional to 289,207.92, 399,104.15 and 166,655.27

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Solution

The fourth proportional to 289,207.92, 399,104.15 and 166,655.27 is: 229,982.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,207.92 : 399,104.15 = 166,655.27 : x
  2. Step 2: Convert to fraction form
    289,207.92/399,104.15 = 166,655.27/x
  3. Step 3: Cross multiply
    289,207.92x = 399,104.15 × 166,655.27
  4. Step 4: Simplify right side
    289,207.92x = 66,512,810,040.85
  5. Step 5: Solve for x
    x = 66,512,810,040.85/289,207.92
  6. Step 6: Final answer
    x = 229,982.67

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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.