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Finding the Fourth Proportional to 275,063.90, 379,745.25 and 210,413.84

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Solution

The fourth proportional to 275,063.90, 379,745.25 and 210,413.84 is: 290,491.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,063.90 : 379,745.25 = 210,413.84 : x
  2. Step 2: Convert to fraction form
    275,063.90/379,745.25 = 210,413.84/x
  3. Step 3: Cross multiply
    275,063.90x = 379,745.25 × 210,413.84
  4. Step 4: Simplify right side
    275,063.90x = 79,903,656,274.26
  5. Step 5: Solve for x
    x = 79,903,656,274.26/275,063.90
  6. Step 6: Final answer
    x = 290,491.25

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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.