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Finding the Fourth Proportional to 300,851.79, 414,936.29 and 255,679.31

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Solution

The fourth proportional to 300,851.79, 414,936.29 and 255,679.31 is: 352,634.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,851.79 : 414,936.29 = 255,679.31 : x
  2. Step 2: Convert to fraction form
    300,851.79/414,936.29 = 255,679.31/x
  3. Step 3: Cross multiply
    300,851.79x = 414,936.29 × 255,679.31
  4. Step 4: Simplify right side
    300,851.79x = 106,090,620,968.08
  5. Step 5: Solve for x
    x = 106,090,620,968.08/300,851.79
  6. Step 6: Final answer
    x = 352,634.17

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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.