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Finding the Fourth Proportional to 490,885.30, 677,410.05 and 321,115.78

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Solution

The fourth proportional to 490,885.30, 677,410.05 and 321,115.78 is: 443,132.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,885.30 : 677,410.05 = 321,115.78 : x
  2. Step 2: Convert to fraction form
    490,885.30/677,410.05 = 321,115.78/x
  3. Step 3: Cross multiply
    490,885.30x = 677,410.05 × 321,115.78
  4. Step 4: Simplify right side
    490,885.30x = 217,527,056,585.59
  5. Step 5: Solve for x
    x = 217,527,056,585.59/490,885.30
  6. Step 6: Final answer
    x = 443,132.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.