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Finding the Fourth Proportional to 298,910.40, 449,056.80 and 205,598.40

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Solution

The fourth proportional to 298,910.40, 449,056.80 and 205,598.40 is: 308,873.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,910.40 : 449,056.80 = 205,598.40 : x
  2. Step 2: Convert to fraction form
    298,910.40/449,056.80 = 205,598.40/x
  3. Step 3: Cross multiply
    298,910.40x = 449,056.80 × 205,598.40
  4. Step 4: Simplify right side
    298,910.40x = 92,325,359,589.12
  5. Step 5: Solve for x
    x = 92,325,359,589.12/298,910.40
  6. Step 6: Final answer
    x = 308,873.03

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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.