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Finding the Fourth Proportional to 383,872.38, 529,744.60 and 214,117.44

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Solution

The fourth proportional to 383,872.38, 529,744.60 and 214,117.44 is: 295,482.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,872.38 : 529,744.60 = 214,117.44 : x
  2. Step 2: Convert to fraction form
    383,872.38/529,744.60 = 214,117.44/x
  3. Step 3: Cross multiply
    383,872.38x = 529,744.60 × 214,117.44
  4. Step 4: Simplify right side
    383,872.38x = 113,427,557,605.82
  5. Step 5: Solve for x
    x = 113,427,557,605.82/383,872.38
  6. Step 6: Final answer
    x = 295,482.47

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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.