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Finding the Fourth Proportional to 321,920.73, 482,966.96 and 111,558.47

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Solution

The fourth proportional to 321,920.73, 482,966.96 and 111,558.47 is: 167,367.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,920.73 : 482,966.96 = 111,558.47 : x
  2. Step 2: Convert to fraction form
    321,920.73/482,966.96 = 111,558.47/x
  3. Step 3: Cross multiply
    321,920.73x = 482,966.96 × 111,558.47
  4. Step 4: Simplify right side
    321,920.73x = 53,879,052,145.52
  5. Step 5: Solve for x
    x = 53,879,052,145.52/321,920.73
  6. Step 6: Final answer
    x = 167,367.45

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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.