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Finding the Fourth Proportional to 295,584.75, 407,907 and 161,448.75

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Solution

The fourth proportional to 295,584.75, 407,907 and 161,448.75 is: 222,799.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,584.75 : 407,907 = 161,448.75 : x
  2. Step 2: Convert to fraction form
    295,584.75/407,907 = 161,448.75/x
  3. Step 3: Cross multiply
    295,584.75x = 407,907 × 161,448.75
  4. Step 4: Simplify right side
    295,584.75x = 65,856,075,266.25
  5. Step 5: Solve for x
    x = 65,856,075,266.25/295,584.75
  6. Step 6: Final answer
    x = 222,799.30

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1.5x scale

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.