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Finding the Fourth Proportional to 371,563.96, 512,764.16 and 210,414.64

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Solution

The fourth proportional to 371,563.96, 512,764.16 and 210,414.64 is: 290,375.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,563.96 : 512,764.16 = 210,414.64 : x
  2. Step 2: Convert to fraction form
    371,563.96/512,764.16 = 210,414.64/x
  3. Step 3: Cross multiply
    371,563.96x = 512,764.16 × 210,414.64
  4. Step 4: Simplify right side
    371,563.96x = 107,893,086,131.30
  5. Step 5: Solve for x
    x = 107,893,086,131.30/371,563.96
  6. Step 6: Final answer
    x = 290,375.54

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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.