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Finding the Fourth Proportional to 339,970.80, 508,919.40 and 199,311.60

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Solution

The fourth proportional to 339,970.80, 508,919.40 and 199,311.60 is: 298,359.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,970.80 : 508,919.40 = 199,311.60 : x
  2. Step 2: Convert to fraction form
    339,970.80/508,919.40 = 199,311.60/x
  3. Step 3: Cross multiply
    339,970.80x = 508,919.40 × 199,311.60
  4. Step 4: Simplify right side
    339,970.80x = 101,433,539,885.04
  5. Step 5: Solve for x
    x = 101,433,539,885.04/339,970.80
  6. Step 6: Final answer
    x = 298,359.56

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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.