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Finding the Fourth Proportional to 490,884.30, 677,408.67 and 321,114.78

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Solution

The fourth proportional to 490,884.30, 677,408.67 and 321,114.78 is: 443,130.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,884.30 : 677,408.67 = 321,114.78 : x
  2. Step 2: Convert to fraction form
    490,884.30/677,408.67 = 321,114.78/x
  3. Step 3: Cross multiply
    490,884.30x = 677,408.67 × 321,114.78
  4. Step 4: Simplify right side
    490,884.30x = 217,525,936,037.14
  5. Step 5: Solve for x
    x = 217,525,936,037.14/490,884.30
  6. Step 6: Final answer
    x = 443,130.77

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1.5x scale

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.