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Finding the Fourth Proportional to 412,688.47, 619,207.68 and 225,481.27

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Solution

The fourth proportional to 412,688.47, 619,207.68 and 225,481.27 is: 338,317.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,688.47 : 619,207.68 = 225,481.27 : x
  2. Step 2: Convert to fraction form
    412,688.47/619,207.68 = 225,481.27/x
  3. Step 3: Cross multiply
    412,688.47x = 619,207.68 × 225,481.27
  4. Step 4: Simplify right side
    412,688.47x = 139,619,734,080.15
  5. Step 5: Solve for x
    x = 139,619,734,080.15/412,688.47
  6. Step 6: Final answer
    x = 338,317.51

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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.