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Finding the Fourth Proportional to 383,689.80, 529,353.09 and 222,456.06

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Solution

The fourth proportional to 383,689.80, 529,353.09 and 222,456.06 is: 306,908.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,689.80 : 529,353.09 = 222,456.06 : x
  2. Step 2: Convert to fraction form
    383,689.80/529,353.09 = 222,456.06/x
  3. Step 3: Cross multiply
    383,689.80x = 529,353.09 × 222,456.06
  4. Step 4: Simplify right side
    383,689.80x = 117,757,802,750.23
  5. Step 5: Solve for x
    x = 117,757,802,750.23/383,689.80
  6. Step 6: Final answer
    x = 306,908.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.