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Finding the Fourth Proportional to 358,800, 495,144 and 199,824

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Solution

The fourth proportional to 358,800, 495,144 and 199,824 is: 275,757.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,800 : 495,144 = 199,824 : x
  2. Step 2: Convert to fraction form
    358,800/495,144 = 199,824/x
  3. Step 3: Cross multiply
    358,800x = 495,144 × 199,824
  4. Step 4: Simplify right side
    358,800x = 98,941,654,656
  5. Step 5: Solve for x
    x = 98,941,654,656/358,800
  6. Step 6: Final answer
    x = 275,757.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.