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Finding the Fourth Proportional to 295,819.12, 408,230.40 and 161,683.12

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Solution

The fourth proportional to 295,819.12, 408,230.40 and 161,683.12 is: 223,122.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,819.12 : 408,230.40 = 161,683.12 : x
  2. Step 2: Convert to fraction form
    295,819.12/408,230.40 = 161,683.12/x
  3. Step 3: Cross multiply
    295,819.12x = 408,230.40 × 161,683.12
  4. Step 4: Simplify right side
    295,819.12x = 66,003,964,750.85
  5. Step 5: Solve for x
    x = 66,003,964,750.85/295,819.12
  6. Step 6: Final answer
    x = 223,122.71

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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.