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Finding the Fourth Proportional to 272,313.45, 407,978.10 and 222,121.80

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Solution

The fourth proportional to 272,313.45, 407,978.10 and 222,121.80 is: 332,781.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,313.45 : 407,978.10 = 222,121.80 : x
  2. Step 2: Convert to fraction form
    272,313.45/407,978.10 = 222,121.80/x
  3. Step 3: Cross multiply
    272,313.45x = 407,978.10 × 222,121.80
  4. Step 4: Simplify right side
    272,313.45x = 90,620,829,932.58
  5. Step 5: Solve for x
    x = 90,620,829,932.58/272,313.45
  6. Step 6: Final answer
    x = 332,781.32

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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.