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Finding the Fourth Proportional to 219,348.40, 329,022.60 and 199,009.30

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Solution

The fourth proportional to 219,348.40, 329,022.60 and 199,009.30 is: 298,513.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,348.40 : 329,022.60 = 199,009.30 : x
  2. Step 2: Convert to fraction form
    219,348.40/329,022.60 = 199,009.30/x
  3. Step 3: Cross multiply
    219,348.40x = 329,022.60 × 199,009.30
  4. Step 4: Simplify right side
    219,348.40x = 65,478,557,310.18
  5. Step 5: Solve for x
    x = 65,478,557,310.18/219,348.40
  6. Step 6: Final answer
    x = 298,513.95

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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.