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Finding the Fourth Proportional to 312,936.53, 431,852.41 and 169,696.68

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Solution

The fourth proportional to 312,936.53, 431,852.41 and 169,696.68 is: 234,181.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,936.53 : 431,852.41 = 169,696.68 : x
  2. Step 2: Convert to fraction form
    312,936.53/431,852.41 = 169,696.68/x
  3. Step 3: Cross multiply
    312,936.53x = 431,852.41 × 169,696.68
  4. Step 4: Simplify right side
    312,936.53x = 73,283,919,802.76
  5. Step 5: Solve for x
    x = 73,283,919,802.76/312,936.53
  6. Step 6: Final answer
    x = 234,181.42

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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.