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Finding the Fourth Proportional to 295,705, 408,072.90 and 161,569

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Solution

The fourth proportional to 295,705, 408,072.90 and 161,569 is: 222,965.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,705 : 408,072.90 = 161,569 : x
  2. Step 2: Convert to fraction form
    295,705/408,072.90 = 161,569/x
  3. Step 3: Cross multiply
    295,705x = 408,072.90 × 161,569
  4. Step 4: Simplify right side
    295,705x = 65,931,930,380.10
  5. Step 5: Solve for x
    x = 65,931,930,380.10/295,705
  6. Step 6: Final answer
    x = 222,965.22

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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.