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Finding the Fourth Proportional to 281,662.80, 422,647.80 and 115,467.60

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Solution

The fourth proportional to 281,662.80, 422,647.80 and 115,467.60 is: 173,264.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,662.80 : 422,647.80 = 115,467.60 : x
  2. Step 2: Convert to fraction form
    281,662.80/422,647.80 = 115,467.60/x
  3. Step 3: Cross multiply
    281,662.80x = 422,647.80 × 115,467.60
  4. Step 4: Simplify right side
    281,662.80x = 48,802,127,111.28
  5. Step 5: Solve for x
    x = 48,802,127,111.28/281,662.80
  6. Step 6: Final answer
    x = 173,264.37

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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.