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Finding the Fourth Proportional to 281,644.79, 422,467.81 and 68,411.75

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Solution

The fourth proportional to 281,644.79, 422,467.81 and 68,411.75 is: 102,617.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,644.79 : 422,467.81 = 68,411.75 : x
  2. Step 2: Convert to fraction form
    281,644.79/422,467.81 = 68,411.75/x
  3. Step 3: Cross multiply
    281,644.79x = 422,467.81 × 68,411.75
  4. Step 4: Simplify right side
    281,644.79x = 28,901,759,917.40
  5. Step 5: Solve for x
    x = 28,901,759,917.40/281,644.79
  6. Step 6: Final answer
    x = 102,617.77

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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.