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Finding the Fourth Proportional to 442,940.40, 663,645.15 and 205,796.70

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Solution

The fourth proportional to 442,940.40, 663,645.15 and 205,796.70 is: 308,339.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,940.40 : 663,645.15 = 205,796.70 : x
  2. Step 2: Convert to fraction form
    442,940.40/663,645.15 = 205,796.70/x
  3. Step 3: Cross multiply
    442,940.40x = 663,645.15 × 205,796.70
  4. Step 4: Simplify right side
    442,940.40x = 136,575,981,841.01
  5. Step 5: Solve for x
    x = 136,575,981,841.01/442,940.40
  6. Step 6: Final answer
    x = 308,339.41

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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.