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Finding the Fourth Proportional to 489,410.68, 734,028.54 and 311,388.88

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Solution

The fourth proportional to 489,410.68, 734,028.54 and 311,388.88 is: 467,027.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,410.68 : 734,028.54 = 311,388.88 : x
  2. Step 2: Convert to fraction form
    489,410.68/734,028.54 = 311,388.88/x
  3. Step 3: Cross multiply
    489,410.68x = 734,028.54 × 311,388.88
  4. Step 4: Simplify right side
    489,410.68x = 228,568,324,958.64
  5. Step 5: Solve for x
    x = 228,568,324,958.64/489,410.68
  6. Step 6: Final answer
    x = 467,027.66

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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.