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Finding the Fourth Proportional to 383,202.29, 528,819.30 and 222,150.71

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Solution

The fourth proportional to 383,202.29, 528,819.30 and 222,150.71 is: 306,568.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,202.29 : 528,819.30 = 222,150.71 : x
  2. Step 2: Convert to fraction form
    383,202.29/528,819.30 = 222,150.71/x
  3. Step 3: Cross multiply
    383,202.29x = 528,819.30 × 222,150.71
  4. Step 4: Simplify right side
    383,202.29x = 117,477,580,312.61
  5. Step 5: Solve for x
    x = 117,477,580,312.61/383,202.29
  6. Step 6: Final answer
    x = 306,568.06

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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.