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Finding the Fourth Proportional to 325,083.30, 487,471.86 and 211,046.64

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Solution

The fourth proportional to 325,083.30, 487,471.86 and 211,046.64 is: 316,470.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,083.30 : 487,471.86 = 211,046.64 : x
  2. Step 2: Convert to fraction form
    325,083.30/487,471.86 = 211,046.64/x
  3. Step 3: Cross multiply
    325,083.30x = 487,471.86 × 211,046.64
  4. Step 4: Simplify right side
    325,083.30x = 102,879,298,147.55
  5. Step 5: Solve for x
    x = 102,879,298,147.55/325,083.30
  6. Step 6: Final answer
    x = 316,470.57

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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.