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Finding the Fourth Proportional to 295,706, 408,074.28 and 161,570

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Solution

The fourth proportional to 295,706, 408,074.28 and 161,570 is: 222,966.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,706 : 408,074.28 = 161,570 : x
  2. Step 2: Convert to fraction form
    295,706/408,074.28 = 161,570/x
  3. Step 3: Cross multiply
    295,706x = 408,074.28 × 161,570
  4. Step 4: Simplify right side
    295,706x = 65,932,561,419.60
  5. Step 5: Solve for x
    x = 65,932,561,419.60/295,706
  6. Step 6: Final answer
    x = 222,966.60

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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.