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Finding the Fourth Proportional to 295,531.88, 407,843.78 and 161,395.88

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Solution

The fourth proportional to 295,531.88, 407,843.78 and 161,395.88 is: 222,731.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,531.88 : 407,843.78 = 161,395.88 : x
  2. Step 2: Convert to fraction form
    295,531.88/407,843.78 = 161,395.88/x
  3. Step 3: Cross multiply
    295,531.88x = 407,843.78 × 161,395.88
  4. Step 4: Simplify right side
    295,531.88x = 65,824,302,929.43
  5. Step 5: Solve for x
    x = 65,824,302,929.43/295,531.88
  6. Step 6: Final answer
    x = 222,731.65

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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.