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Finding the Fourth Proportional to 383,601.81, 529,370.54 and 213,835.94

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Solution

The fourth proportional to 383,601.81, 529,370.54 and 213,835.94 is: 295,093.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,601.81 : 529,370.54 = 213,835.94 : x
  2. Step 2: Convert to fraction form
    383,601.81/529,370.54 = 213,835.94/x
  3. Step 3: Cross multiply
    383,601.81x = 529,370.54 × 213,835.94
  4. Step 4: Simplify right side
    383,601.81x = 113,198,447,029.21
  5. Step 5: Solve for x
    x = 113,198,447,029.21/383,601.81
  6. Step 6: Final answer
    x = 295,093.62

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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.