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Finding the Fourth Proportional to 389,980.50, 584,896.77 and 190,099.86

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Solution

The fourth proportional to 389,980.50, 584,896.77 and 190,099.86 is: 285,113.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,980.50 : 584,896.77 = 190,099.86 : x
  2. Step 2: Convert to fraction form
    389,980.50/584,896.77 = 190,099.86/x
  3. Step 3: Cross multiply
    389,980.50x = 584,896.77 × 190,099.86
  4. Step 4: Simplify right side
    389,980.50x = 111,188,794,091.45
  5. Step 5: Solve for x
    x = 111,188,794,091.45/389,980.50
  6. Step 6: Final answer
    x = 285,113.73

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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.