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Finding the Fourth Proportional to 298,056.30, 447,084.45 and 192,993.90

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Solution

The fourth proportional to 298,056.30, 447,084.45 and 192,993.90 is: 289,490.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,056.30 : 447,084.45 = 192,993.90 : x
  2. Step 2: Convert to fraction form
    298,056.30/447,084.45 = 192,993.90/x
  3. Step 3: Cross multiply
    298,056.30x = 447,084.45 × 192,993.90
  4. Step 4: Simplify right side
    298,056.30x = 86,284,571,634.86
  5. Step 5: Solve for x
    x = 86,284,571,634.86/298,056.30
  6. Step 6: Final answer
    x = 289,490.85

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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.