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Finding the Fourth Proportional to 274,517.10, 411,430.05 and 243,413.10

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Solution

The fourth proportional to 274,517.10, 411,430.05 and 243,413.10 is: 364,813.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,517.10 : 411,430.05 = 243,413.10 : x
  2. Step 2: Convert to fraction form
    274,517.10/411,430.05 = 243,413.10/x
  3. Step 3: Cross multiply
    274,517.10x = 411,430.05 × 243,413.10
  4. Step 4: Simplify right side
    274,517.10x = 100,147,463,903.66
  5. Step 5: Solve for x
    x = 100,147,463,903.66/274,517.10
  6. Step 6: Final answer
    x = 364,813.21

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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.