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Finding the Fourth Proportional to 443,419.20, 664,999.20 and 159,076.80

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Solution

The fourth proportional to 443,419.20, 664,999.20 and 159,076.80 is: 238,568.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,419.20 : 664,999.20 = 159,076.80 : x
  2. Step 2: Convert to fraction form
    443,419.20/664,999.20 = 159,076.80/x
  3. Step 3: Cross multiply
    443,419.20x = 664,999.20 × 159,076.80
  4. Step 4: Simplify right side
    443,419.20x = 105,785,944,738.56
  5. Step 5: Solve for x
    x = 105,785,944,738.56/443,419.20
  6. Step 6: Final answer
    x = 238,568.71

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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.