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Finding the Fourth Proportional to 295,900, 408,343.44 and 161,764

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Solution

The fourth proportional to 295,900, 408,343.44 and 161,764 is: 223,235.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,900 : 408,343.44 = 161,764 : x
  2. Step 2: Convert to fraction form
    295,900/408,343.44 = 161,764/x
  3. Step 3: Cross multiply
    295,900x = 408,343.44 × 161,764
  4. Step 4: Simplify right side
    295,900x = 66,055,268,228.16
  5. Step 5: Solve for x
    x = 66,055,268,228.16/295,900
  6. Step 6: Final answer
    x = 223,235.11

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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.