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Finding the Fourth Proportional to 290,813, 401,166.42 and 195,155.24

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Solution

The fourth proportional to 290,813, 401,166.42 and 195,155.24 is: 269,209.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,813 : 401,166.42 = 195,155.24 : x
  2. Step 2: Convert to fraction form
    290,813/401,166.42 = 195,155.24/x
  3. Step 3: Cross multiply
    290,813x = 401,166.42 × 195,155.24
  4. Step 4: Simplify right side
    290,813x = 78,289,728,975.04
  5. Step 5: Solve for x
    x = 78,289,728,975.04/290,813
  6. Step 6: Final answer
    x = 269,209.87

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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.