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Finding the Fourth Proportional to 308,112.60, 424,967.94 and 194,826

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Solution

The fourth proportional to 308,112.60, 424,967.94 and 194,826 is: 268,716.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,112.60 : 424,967.94 = 194,826 : x
  2. Step 2: Convert to fraction form
    308,112.60/424,967.94 = 194,826/x
  3. Step 3: Cross multiply
    308,112.60x = 424,967.94 × 194,826
  4. Step 4: Simplify right side
    308,112.60x = 82,794,803,878.44
  5. Step 5: Solve for x
    x = 82,794,803,878.44/308,112.60
  6. Step 6: Final answer
    x = 268,716.06

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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.