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Finding the Fourth Proportional to 298,954.02, 447,451.74 and 163,812

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Solution

The fourth proportional to 298,954.02, 447,451.74 and 163,812 is: 245,181.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,954.02 : 447,451.74 = 163,812 : x
  2. Step 2: Convert to fraction form
    298,954.02/447,451.74 = 163,812/x
  3. Step 3: Cross multiply
    298,954.02x = 447,451.74 × 163,812
  4. Step 4: Simplify right side
    298,954.02x = 73,297,964,432.88
  5. Step 5: Solve for x
    x = 73,297,964,432.88/298,954.02
  6. Step 6: Final answer
    x = 245,181.40

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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.