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Finding the Fourth Proportional to 383,872.72, 529,755.72 and 214,118.16

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Solution

The fourth proportional to 383,872.72, 529,755.72 and 214,118.16 is: 295,489.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,872.72 : 529,755.72 = 214,118.16 : x
  2. Step 2: Convert to fraction form
    383,872.72/529,755.72 = 214,118.16/x
  3. Step 3: Cross multiply
    383,872.72x = 529,755.72 × 214,118.16
  4. Step 4: Simplify right side
    383,872.72x = 113,430,320,015.88
  5. Step 5: Solve for x
    x = 113,430,320,015.88/383,872.72
  6. Step 6: Final answer
    x = 295,489.40

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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.