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Finding the Fourth Proportional to 358,825, 495,178.50 and 199,849

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Solution

The fourth proportional to 358,825, 495,178.50 and 199,849 is: 275,791.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,825 : 495,178.50 = 199,849 : x
  2. Step 2: Convert to fraction form
    358,825/495,178.50 = 199,849/x
  3. Step 3: Cross multiply
    358,825x = 495,178.50 × 199,849
  4. Step 4: Simplify right side
    358,825x = 98,960,928,046.50
  5. Step 5: Solve for x
    x = 98,960,928,046.50/358,825
  6. Step 6: Final answer
    x = 275,791.62

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Why These Related Problems?

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