Finding the Fourth Proportional to 410,163.24, 565,380.60 and 280,878.12
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Solution
The fourth proportional to 410,163.24, 565,380.60 and 280,878.12 is: 387,170.34
Step by Step Solution
- Step 1: Write the proportion equation
410,163.24 : 565,380.60 = 280,878.12 : x - Step 2: Convert to fraction form
410,163.24/565,380.60 = 280,878.12/x - Step 3: Cross multiply
410,163.24x = 565,380.60 × 280,878.12 - Step 4: Simplify right side
410,163.24x = 158,803,040,012.47 - Step 5: Solve for x
x = 158,803,040,012.47/410,163.24 - Step 6: Final answer
x = 387,170.34
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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.