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Finding the Fourth Proportional to 383,884.78, 529,772.40 and 214,115.26

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Solution

The fourth proportional to 383,884.78, 529,772.40 and 214,115.26 is: 295,485.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,884.78 : 529,772.40 = 214,115.26 : x
  2. Step 2: Convert to fraction form
    383,884.78/529,772.40 = 214,115.26/x
  3. Step 3: Cross multiply
    383,884.78x = 529,772.40 × 214,115.26
  4. Step 4: Simplify right side
    383,884.78x = 113,432,355,166.82
  5. Step 5: Solve for x
    x = 113,432,355,166.82/383,884.78
  6. Step 6: Final answer
    x = 295,485.42

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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.