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Finding the Fourth Proportional to 295,946, 408,405.48 and 161,810

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Solution

The fourth proportional to 295,946, 408,405.48 and 161,810 is: 223,297.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,946 : 408,405.48 = 161,810 : x
  2. Step 2: Convert to fraction form
    295,946/408,405.48 = 161,810/x
  3. Step 3: Cross multiply
    295,946x = 408,405.48 × 161,810
  4. Step 4: Simplify right side
    295,946x = 66,084,090,718.80
  5. Step 5: Solve for x
    x = 66,084,090,718.80/295,946
  6. Step 6: Final answer
    x = 223,297.80

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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.