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Finding the Fourth Proportional to 299,647.20, 449,989.20 and 194,930.40

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Solution

The fourth proportional to 299,647.20, 449,989.20 and 194,930.40 is: 292,732.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,647.20 : 449,989.20 = 194,930.40 : x
  2. Step 2: Convert to fraction form
    299,647.20/449,989.20 = 194,930.40/x
  3. Step 3: Cross multiply
    299,647.20x = 449,989.20 × 194,930.40
  4. Step 4: Simplify right side
    299,647.20x = 87,716,574,751.68
  5. Step 5: Solve for x
    x = 87,716,574,751.68/299,647.20
  6. Step 6: Final answer
    x = 292,732.84

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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.