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Finding the Fourth Proportional to 511,873.92, 767,958.44 and 156,940.29

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Solution

The fourth proportional to 511,873.92, 767,958.44 and 156,940.29 is: 235,455.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,873.92 : 767,958.44 = 156,940.29 : x
  2. Step 2: Convert to fraction form
    511,873.92/767,958.44 = 156,940.29/x
  3. Step 3: Cross multiply
    511,873.92x = 767,958.44 × 156,940.29
  4. Step 4: Simplify right side
    511,873.92x = 120,523,619,496.85
  5. Step 5: Solve for x
    x = 120,523,619,496.85/511,873.92
  6. Step 6: Final answer
    x = 235,455.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.