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Finding the Fourth Proportional to 299,231.44, 412,955.18 and 171,915.28

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Solution

The fourth proportional to 299,231.44, 412,955.18 and 171,915.28 is: 237,252.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,231.44 : 412,955.18 = 171,915.28 : x
  2. Step 2: Convert to fraction form
    299,231.44/412,955.18 = 171,915.28/x
  3. Step 3: Cross multiply
    299,231.44x = 412,955.18 × 171,915.28
  4. Step 4: Simplify right side
    299,231.44x = 70,993,305,397.15
  5. Step 5: Solve for x
    x = 70,993,305,397.15/299,231.44
  6. Step 6: Final answer
    x = 237,252.16

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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.