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Finding the Fourth Proportional to 295,668, 408,021.84 and 161,532

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Solution

The fourth proportional to 295,668, 408,021.84 and 161,532 is: 222,914.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,668 : 408,021.84 = 161,532 : x
  2. Step 2: Convert to fraction form
    295,668/408,021.84 = 161,532/x
  3. Step 3: Cross multiply
    295,668x = 408,021.84 × 161,532
  4. Step 4: Simplify right side
    295,668x = 65,908,583,858.88
  5. Step 5: Solve for x
    x = 65,908,583,858.88/295,668
  6. Step 6: Final answer
    x = 222,914.16

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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.