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Finding the Fourth Proportional to 667,104, 1,000,498.56 and 217,708.80

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Solution

The fourth proportional to 667,104, 1,000,498.56 and 217,708.80 is: 326,511.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,104 : 1,000,498.56 = 217,708.80 : x
  2. Step 2: Convert to fraction form
    667,104/1,000,498.56 = 217,708.80/x
  3. Step 3: Cross multiply
    667,104x = 1,000,498.56 × 217,708.80
  4. Step 4: Simplify right side
    667,104x = 217,817,340,899.33
  5. Step 5: Solve for x
    x = 217,817,340,899.33/667,104
  6. Step 6: Final answer
    x = 326,511.82

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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.