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Finding the Fourth Proportional to 325,768.56, 488,659.32 and 214,160.64

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Solution

The fourth proportional to 325,768.56, 488,659.32 and 214,160.64 is: 321,245.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,768.56 : 488,659.32 = 214,160.64 : x
  2. Step 2: Convert to fraction form
    325,768.56/488,659.32 = 214,160.64/x
  3. Step 3: Cross multiply
    325,768.56x = 488,659.32 × 214,160.64
  4. Step 4: Simplify right side
    325,768.56x = 104,651,592,713.17
  5. Step 5: Solve for x
    x = 104,651,592,713.17/325,768.56
  6. Step 6: Final answer
    x = 321,245.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.