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Finding the Fourth Proportional to 667,384.68, 1,000,380.69 and 330,214.89

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Solution

The fourth proportional to 667,384.68, 1,000,380.69 and 330,214.89 is: 494,977.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,384.68 : 1,000,380.69 = 330,214.89 : x
  2. Step 2: Convert to fraction form
    667,384.68/1,000,380.69 = 330,214.89/x
  3. Step 3: Cross multiply
    667,384.68x = 1,000,380.69 × 330,214.89
  4. Step 4: Simplify right side
    667,384.68x = 330,340,599,506.47
  5. Step 5: Solve for x
    x = 330,340,599,506.47/667,384.68
  6. Step 6: Final answer
    x = 494,977.80

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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.