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Finding the Fourth Proportional to 285,009.84, 427,481.96 and 74,664.18

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Solution

The fourth proportional to 285,009.84, 427,481.96 and 74,664.18 is: 111,987.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,009.84 : 427,481.96 = 74,664.18 : x
  2. Step 2: Convert to fraction form
    285,009.84/427,481.96 = 74,664.18/x
  3. Step 3: Cross multiply
    285,009.84x = 427,481.96 × 74,664.18
  4. Step 4: Simplify right side
    285,009.84x = 31,917,589,634.87
  5. Step 5: Solve for x
    x = 31,917,589,634.87/285,009.84
  6. Step 6: Final answer
    x = 111,987.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.