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Finding the Fourth Proportional to 321,966.60, 482,949.90 and 111,625.80

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Solution

The fourth proportional to 321,966.60, 482,949.90 and 111,625.80 is: 167,438.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,966.60 : 482,949.90 = 111,625.80 : x
  2. Step 2: Convert to fraction form
    321,966.60/482,949.90 = 111,625.80/x
  3. Step 3: Cross multiply
    321,966.60x = 482,949.90 × 111,625.80
  4. Step 4: Simplify right side
    321,966.60x = 53,909,668,947.42
  5. Step 5: Solve for x
    x = 53,909,668,947.42/321,966.60
  6. Step 6: Final answer
    x = 167,438.70

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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.