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Finding the Fourth Proportional to 449,231.40, 673,847.10 and 213,035.40

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Solution

The fourth proportional to 449,231.40, 673,847.10 and 213,035.40 is: 319,553.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,231.40 : 673,847.10 = 213,035.40 : x
  2. Step 2: Convert to fraction form
    449,231.40/673,847.10 = 213,035.40/x
  3. Step 3: Cross multiply
    449,231.40x = 673,847.10 × 213,035.40
  4. Step 4: Simplify right side
    449,231.40x = 143,553,286,487.34
  5. Step 5: Solve for x
    x = 143,553,286,487.34/449,231.40
  6. Step 6: Final answer
    x = 319,553.10

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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.