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Finding the Fourth Proportional to 449,058, 673,873.80 and 212,414.64

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Solution

The fourth proportional to 449,058, 673,873.80 and 212,414.64 is: 318,757.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,058 : 673,873.80 = 212,414.64 : x
  2. Step 2: Convert to fraction form
    449,058/673,873.80 = 212,414.64/x
  3. Step 3: Cross multiply
    449,058x = 673,873.80 × 212,414.64
  4. Step 4: Simplify right side
    449,058x = 143,140,660,632.43
  5. Step 5: Solve for x
    x = 143,140,660,632.43/449,058
  6. Step 6: Final answer
    x = 318,757.62

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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.