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Finding the Fourth Proportional to 383,121.34, 528,707.41 and 222,069.80

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Solution

The fourth proportional to 383,121.34, 528,707.41 and 222,069.80 is: 306,456.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,121.34 : 528,707.41 = 222,069.80 : x
  2. Step 2: Convert to fraction form
    383,121.34/528,707.41 = 222,069.80/x
  3. Step 3: Cross multiply
    383,121.34x = 528,707.41 × 222,069.80
  4. Step 4: Simplify right side
    383,121.34x = 117,409,947,686.87
  5. Step 5: Solve for x
    x = 117,409,947,686.87/383,121.34
  6. Step 6: Final answer
    x = 306,456.30

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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.