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Finding the Fourth Proportional to 383,400.90, 529,095.42 and 222,351.48

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Solution

The fourth proportional to 383,400.90, 529,095.42 and 222,351.48 is: 306,846.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,400.90 : 529,095.42 = 222,351.48 : x
  2. Step 2: Convert to fraction form
    383,400.90/529,095.42 = 222,351.48/x
  3. Step 3: Cross multiply
    383,400.90x = 529,095.42 × 222,351.48
  4. Step 4: Simplify right side
    383,400.90x = 117,645,149,698.22
  5. Step 5: Solve for x
    x = 117,645,149,698.22/383,400.90
  6. Step 6: Final answer
    x = 306,846.31

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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.