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Finding the Fourth Proportional to 399,203.80, 597,930.90 and 211,996.60

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Solution

The fourth proportional to 399,203.80, 597,930.90 and 211,996.60 is: 317,530.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,203.80 : 597,930.90 = 211,996.60 : x
  2. Step 2: Convert to fraction form
    399,203.80/597,930.90 = 211,996.60/x
  3. Step 3: Cross multiply
    399,203.80x = 597,930.90 × 211,996.60
  4. Step 4: Simplify right side
    399,203.80x = 126,759,317,834.94
  5. Step 5: Solve for x
    x = 126,759,317,834.94/399,203.80
  6. Step 6: Final answer
    x = 317,530.34

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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.