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Finding the Fourth Proportional to 298,072.48, 411,131.82 and 202,413.10

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Solution

The fourth proportional to 298,072.48, 411,131.82 and 202,413.10 is: 279,188.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,072.48 : 411,131.82 = 202,413.10 : x
  2. Step 2: Convert to fraction form
    298,072.48/411,131.82 = 202,413.10/x
  3. Step 3: Cross multiply
    298,072.48x = 411,131.82 × 202,413.10
  4. Step 4: Simplify right side
    298,072.48x = 83,218,466,194.84
  5. Step 5: Solve for x
    x = 83,218,466,194.84/298,072.48
  6. Step 6: Final answer
    x = 279,188.69

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