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Finding the Fourth Proportional to 324,497.76, 486,760 and 111,412

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Solution

The fourth proportional to 324,497.76, 486,760 and 111,412 is: 167,122.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,497.76 : 486,760 = 111,412 : x
  2. Step 2: Convert to fraction form
    324,497.76/486,760 = 111,412/x
  3. Step 3: Cross multiply
    324,497.76x = 486,760 × 111,412
  4. Step 4: Simplify right side
    324,497.76x = 54,230,905,120
  5. Step 5: Solve for x
    x = 54,230,905,120/324,497.76
  6. Step 6: Final answer
    x = 167,122.59

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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.