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Finding the Fourth Proportional to 383,850.76, 529,715 and 214,095.88

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Solution

The fourth proportional to 383,850.76, 529,715 and 214,095.88 is: 295,452.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,850.76 : 529,715 = 214,095.88 : x
  2. Step 2: Convert to fraction form
    383,850.76/529,715 = 214,095.88/x
  3. Step 3: Cross multiply
    383,850.76x = 529,715 × 214,095.88
  4. Step 4: Simplify right side
    383,850.76x = 113,409,799,074.20
  5. Step 5: Solve for x
    x = 113,409,799,074.20/383,850.76
  6. Step 6: Final answer
    x = 295,452.84

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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.