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Finding the Fourth Proportional to 330,885.80, 496,328.70 and 204,914.60

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Solution

The fourth proportional to 330,885.80, 496,328.70 and 204,914.60 is: 307,371.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,885.80 : 496,328.70 = 204,914.60 : x
  2. Step 2: Convert to fraction form
    330,885.80/496,328.70 = 204,914.60/x
  3. Step 3: Cross multiply
    330,885.80x = 496,328.70 × 204,914.60
  4. Step 4: Simplify right side
    330,885.80x = 101,704,997,029.02
  5. Step 5: Solve for x
    x = 101,704,997,029.02/330,885.80
  6. Step 6: Final answer
    x = 307,371.90

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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.