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Finding the Fourth Proportional to 321,959.86, 482,939.78 and 111,597.80

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Solution

The fourth proportional to 321,959.86, 482,939.78 and 111,597.80 is: 167,396.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,959.86 : 482,939.78 = 111,597.80 : x
  2. Step 2: Convert to fraction form
    321,959.86/482,939.78 = 111,597.80/x
  3. Step 3: Cross multiply
    321,959.86x = 482,939.78 × 111,597.80
  4. Step 4: Simplify right side
    321,959.86x = 53,895,016,980.48
  5. Step 5: Solve for x
    x = 53,895,016,980.48/321,959.86
  6. Step 6: Final answer
    x = 167,396.70

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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.