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Finding the Fourth Proportional to 325,687.72, 488,537.82 and 214,080.36

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Solution

The fourth proportional to 325,687.72, 488,537.82 and 214,080.36 is: 321,124.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,687.72 : 488,537.82 = 214,080.36 : x
  2. Step 2: Convert to fraction form
    325,687.72/488,537.82 = 214,080.36/x
  3. Step 3: Cross multiply
    325,687.72x = 488,537.82 × 214,080.36
  4. Step 4: Simplify right side
    325,687.72x = 104,586,352,379.22
  5. Step 5: Solve for x
    x = 104,586,352,379.22/325,687.72
  6. Step 6: Final answer
    x = 321,124.64

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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.