Finding the Fourth Proportional to 800,496.74, 1,201,216.57 and 295,413.14
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Solution
The fourth proportional to 800,496.74, 1,201,216.57 and 295,413.14 is: 443,293.70
Step by Step Solution
- Step 1: Write the proportion equation
800,496.74 : 1,201,216.57 = 295,413.14 : x - Step 2: Convert to fraction form
800,496.74/1,201,216.57 = 295,413.14/x - Step 3: Cross multiply
800,496.74x = 1,201,216.57 × 295,413.14 - Step 4: Simplify right side
800,496.74x = 354,855,161,028.24 - Step 5: Solve for x
x = 354,855,161,028.24/800,496.74 - Step 6: Final answer
x = 443,293.70
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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.