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Finding the Fourth Proportional to 339,980.80, 508,934.40 and 199,321.60

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Solution

The fourth proportional to 339,980.80, 508,934.40 and 199,321.60 is: 298,374.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,980.80 : 508,934.40 = 199,321.60 : x
  2. Step 2: Convert to fraction form
    339,980.80/508,934.40 = 199,321.60/x
  3. Step 3: Cross multiply
    339,980.80x = 508,934.40 × 199,321.60
  4. Step 4: Simplify right side
    339,980.80x = 101,441,618,903.04
  5. Step 5: Solve for x
    x = 101,441,618,903.04/339,980.80
  6. Step 6: Final answer
    x = 298,374.55

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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.