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Finding the Fourth Proportional to 380,459.73, 570,745.65 and 114,241.70

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Solution

The fourth proportional to 380,459.73, 570,745.65 and 114,241.70 is: 171,379.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,459.73 : 570,745.65 = 114,241.70 : x
  2. Step 2: Convert to fraction form
    380,459.73/570,745.65 = 114,241.70/x
  3. Step 3: Cross multiply
    380,459.73x = 570,745.65 × 114,241.70
  4. Step 4: Simplify right side
    380,459.73x = 65,202,950,469.88
  5. Step 5: Solve for x
    x = 65,202,950,469.88/380,459.73
  6. Step 6: Final answer
    x = 171,379.37

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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.