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Finding the Fourth Proportional to 275,321.60, 412,982.40 and 97,846.55

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Solution

The fourth proportional to 275,321.60, 412,982.40 and 97,846.55 is: 146,769.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,321.60 : 412,982.40 = 97,846.55 : x
  2. Step 2: Convert to fraction form
    275,321.60/412,982.40 = 97,846.55/x
  3. Step 3: Cross multiply
    275,321.60x = 412,982.40 × 97,846.55
  4. Step 4: Simplify right side
    275,321.60x = 40,408,903,050.72
  5. Step 5: Solve for x
    x = 40,408,903,050.72/275,321.60
  6. Step 6: Final answer
    x = 146,769.83

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