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Finding the Fourth Proportional to 321,638.40, 482,505.12 and 111,219.84

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Solution

The fourth proportional to 321,638.40, 482,505.12 and 111,219.84 is: 166,846.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,638.40 : 482,505.12 = 111,219.84 : x
  2. Step 2: Convert to fraction form
    321,638.40/482,505.12 = 111,219.84/x
  3. Step 3: Cross multiply
    321,638.40x = 482,505.12 × 111,219.84
  4. Step 4: Simplify right side
    321,638.40x = 53,664,142,245.58
  5. Step 5: Solve for x
    x = 53,664,142,245.58/321,638.40
  6. Step 6: Final answer
    x = 166,846.19

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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.