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Finding the Fourth Proportional to 321,684.15, 482,034.13 and 171,945.73

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Solution

The fourth proportional to 321,684.15, 482,034.13 and 171,945.73 is: 257,655.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,684.15 : 482,034.13 = 171,945.73 : x
  2. Step 2: Convert to fraction form
    321,684.15/482,034.13 = 171,945.73/x
  3. Step 3: Cross multiply
    321,684.15x = 482,034.13 × 171,945.73
  4. Step 4: Simplify right side
    321,684.15x = 82,883,710,367.76
  5. Step 5: Solve for x
    x = 82,883,710,367.76/321,684.15
  6. Step 6: Final answer
    x = 257,655.56

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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.