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Finding the Fourth Proportional to 298,953.02, 447,450.24 and 163,811

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Solution

The fourth proportional to 298,953.02, 447,450.24 and 163,811 is: 245,179.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,953.02 : 447,450.24 = 163,811 : x
  2. Step 2: Convert to fraction form
    298,953.02/447,450.24 = 163,811/x
  3. Step 3: Cross multiply
    298,953.02x = 447,450.24 × 163,811
  4. Step 4: Simplify right side
    298,953.02x = 73,297,271,264.64
  5. Step 5: Solve for x
    x = 73,297,271,264.64/298,953.02
  6. Step 6: Final answer
    x = 245,179.90

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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.