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Finding the Fourth Proportional to 383,538.96, 529,286.22 and 213,783.84

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Solution

The fourth proportional to 383,538.96, 529,286.22 and 213,783.84 is: 295,023.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,538.96 : 529,286.22 = 213,783.84 : x
  2. Step 2: Convert to fraction form
    383,538.96/529,286.22 = 213,783.84/x
  3. Step 3: Cross multiply
    383,538.96x = 529,286.22 × 213,783.84
  4. Step 4: Simplify right side
    383,538.96x = 113,152,840,570.69
  5. Step 5: Solve for x
    x = 113,152,840,570.69/383,538.96
  6. Step 6: Final answer
    x = 295,023.07

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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.