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Finding the Fourth Proportional to 289,791.37, 434,812.20 and 156,765.27

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Solution

The fourth proportional to 289,791.37, 434,812.20 and 156,765.27 is: 235,215.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,791.37 : 434,812.20 = 156,765.27 : x
  2. Step 2: Convert to fraction form
    289,791.37/434,812.20 = 156,765.27/x
  3. Step 3: Cross multiply
    289,791.37x = 434,812.20 × 156,765.27
  4. Step 4: Simplify right side
    289,791.37x = 68,163,451,932.29
  5. Step 5: Solve for x
    x = 68,163,451,932.29/289,791.37
  6. Step 6: Final answer
    x = 235,215.61

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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.