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Finding the Fourth Proportional to 295,469, 407,747.40 and 161,333

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Solution

The fourth proportional to 295,469, 407,747.40 and 161,333 is: 222,639.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,469 : 407,747.40 = 161,333 : x
  2. Step 2: Convert to fraction form
    295,469/407,747.40 = 161,333/x
  3. Step 3: Cross multiply
    295,469x = 407,747.40 × 161,333
  4. Step 4: Simplify right side
    295,469x = 65,783,111,284.20
  5. Step 5: Solve for x
    x = 65,783,111,284.20/295,469
  6. Step 6: Final answer
    x = 222,639.64

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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.