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Finding the Fourth Proportional to 272,201.76, 406,468.08 and 222,380.28

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Solution

The fourth proportional to 272,201.76, 406,468.08 and 222,380.28 is: 332,071.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,201.76 : 406,468.08 = 222,380.28 : x
  2. Step 2: Convert to fraction form
    272,201.76/406,468.08 = 222,380.28/x
  3. Step 3: Cross multiply
    272,201.76x = 406,468.08 × 222,380.28
  4. Step 4: Simplify right side
    272,201.76x = 90,390,485,441.46
  5. Step 5: Solve for x
    x = 90,390,485,441.46/272,201.76
  6. Step 6: Final answer
    x = 332,071.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.