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Finding the Fourth Proportional to 275,684.95, 380,490.30 and 189,571.83

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Solution

The fourth proportional to 275,684.95, 380,490.30 and 189,571.83 is: 261,640.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,684.95 : 380,490.30 = 189,571.83 : x
  2. Step 2: Convert to fraction form
    275,684.95/380,490.30 = 189,571.83/x
  3. Step 3: Cross multiply
    275,684.95x = 380,490.30 × 189,571.83
  4. Step 4: Simplify right side
    275,684.95x = 72,130,242,468.25
  5. Step 5: Solve for x
    x = 72,130,242,468.25/275,684.95
  6. Step 6: Final answer
    x = 261,640.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.