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Finding the Fourth Proportional to 667,106.94, 999,404.82 and 329,752.70

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Solution

The fourth proportional to 667,106.94, 999,404.82 and 329,752.70 is: 494,008.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,106.94 : 999,404.82 = 329,752.70 : x
  2. Step 2: Convert to fraction form
    667,106.94/999,404.82 = 329,752.70/x
  3. Step 3: Cross multiply
    667,106.94x = 999,404.82 × 329,752.70
  4. Step 4: Simplify right side
    667,106.94x = 329,556,437,788.01
  5. Step 5: Solve for x
    x = 329,556,437,788.01/667,106.94
  6. Step 6: Final answer
    x = 494,008.41

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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.