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Finding the Fourth Proportional to 272,729.91, 408,537.16 and 222,308.63

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Solution

The fourth proportional to 272,729.91, 408,537.16 and 222,308.63 is: 333,008.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,729.91 : 408,537.16 = 222,308.63 : x
  2. Step 2: Convert to fraction form
    272,729.91/408,537.16 = 222,308.63/x
  3. Step 3: Cross multiply
    272,729.91x = 408,537.16 × 222,308.63
  4. Step 4: Simplify right side
    272,729.91x = 90,821,336,343.69
  5. Step 5: Solve for x
    x = 90,821,336,343.69/272,729.91
  6. Step 6: Final answer
    x = 333,008.35

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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.