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Finding the Fourth Proportional to 281,759.67, 422,805.36 and 104,390.34

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Solution

The fourth proportional to 281,759.67, 422,805.36 and 104,390.34 is: 156,646.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,759.67 : 422,805.36 = 104,390.34 : x
  2. Step 2: Convert to fraction form
    281,759.67/422,805.36 = 104,390.34/x
  3. Step 3: Cross multiply
    281,759.67x = 422,805.36 × 104,390.34
  4. Step 4: Simplify right side
    281,759.67x = 44,136,795,284.22
  5. Step 5: Solve for x
    x = 44,136,795,284.22/281,759.67
  6. Step 6: Final answer
    x = 156,646.96

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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.