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Finding the Fourth Proportional to 219,770.40, 329,655.60 and 199,431.30

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Solution

The fourth proportional to 219,770.40, 329,655.60 and 199,431.30 is: 299,146.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,770.40 : 329,655.60 = 199,431.30 : x
  2. Step 2: Convert to fraction form
    219,770.40/329,655.60 = 199,431.30/x
  3. Step 3: Cross multiply
    219,770.40x = 329,655.60 × 199,431.30
  4. Step 4: Simplify right side
    219,770.40x = 65,743,644,860.28
  5. Step 5: Solve for x
    x = 65,743,644,860.28/219,770.40
  6. Step 6: Final answer
    x = 299,146.95

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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.