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Finding the Fourth Proportional to 295,226, 407,411.88 and 161,090

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Solution

The fourth proportional to 295,226, 407,411.88 and 161,090 is: 222,304.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,226 : 407,411.88 = 161,090 : x
  2. Step 2: Convert to fraction form
    295,226/407,411.88 = 161,090/x
  3. Step 3: Cross multiply
    295,226x = 407,411.88 × 161,090
  4. Step 4: Simplify right side
    295,226x = 65,629,979,749.20
  5. Step 5: Solve for x
    x = 65,629,979,749.20/295,226
  6. Step 6: Final answer
    x = 222,304.20

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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.