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Finding the Fourth Proportional to 325,530, 488,298.04 and 115,203.60

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Solution

The fourth proportional to 325,530, 488,298.04 and 115,203.60 is: 172,806.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,530 : 488,298.04 = 115,203.60 : x
  2. Step 2: Convert to fraction form
    325,530/488,298.04 = 115,203.60/x
  3. Step 3: Cross multiply
    325,530x = 488,298.04 × 115,203.60
  4. Step 4: Simplify right side
    325,530x = 56,253,692,080.94
  5. Step 5: Solve for x
    x = 56,253,692,080.94/325,530
  6. Step 6: Final answer
    x = 172,806.48

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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.