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Finding the Fourth Proportional to 209,323.44, 313,999.56 and 69,180.48

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Solution

The fourth proportional to 209,323.44, 313,999.56 and 69,180.48 is: 103,775.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,323.44 : 313,999.56 = 69,180.48 : x
  2. Step 2: Convert to fraction form
    209,323.44/313,999.56 = 69,180.48/x
  3. Step 3: Cross multiply
    209,323.44x = 313,999.56 × 69,180.48
  4. Step 4: Simplify right side
    209,323.44x = 21,722,640,280.59
  5. Step 5: Solve for x
    x = 21,722,640,280.59/209,323.44
  6. Step 6: Final answer
    x = 103,775.48

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1.5x scale

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.