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Finding the Fourth Proportional to 268,469.80, 402,834.30 and 189,413.80

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Solution

The fourth proportional to 268,469.80, 402,834.30 and 189,413.80 is: 284,212.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,469.80 : 402,834.30 = 189,413.80 : x
  2. Step 2: Convert to fraction form
    268,469.80/402,834.30 = 189,413.80/x
  3. Step 3: Cross multiply
    268,469.80x = 402,834.30 × 189,413.80
  4. Step 4: Simplify right side
    268,469.80x = 76,302,375,533.34
  5. Step 5: Solve for x
    x = 76,302,375,533.34/268,469.80
  6. Step 6: Final answer
    x = 284,212.14

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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.