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Finding the Fourth Proportional to 295,464, 407,741.40 and 161,328

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Solution

The fourth proportional to 295,464, 407,741.40 and 161,328 is: 222,633.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,464 : 407,741.40 = 161,328 : x
  2. Step 2: Convert to fraction form
    295,464/407,741.40 = 161,328/x
  3. Step 3: Cross multiply
    295,464x = 407,741.40 × 161,328
  4. Step 4: Simplify right side
    295,464x = 65,780,104,579.20
  5. Step 5: Solve for x
    x = 65,780,104,579.20/295,464
  6. Step 6: Final answer
    x = 222,633.23

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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.