Finding the Fourth Proportional to 287,217.09, 430,184.12 and 208,149.75
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Solution
The fourth proportional to 287,217.09, 430,184.12 and 208,149.75 is: 311,759.71
Step by Step Solution
- Step 1: Write the proportion equation
287,217.09 : 430,184.12 = 208,149.75 : x - Step 2: Convert to fraction form
287,217.09/430,184.12 = 208,149.75/x - Step 3: Cross multiply
287,217.09x = 430,184.12 × 208,149.75 - Step 4: Simplify right side
287,217.09x = 89,542,715,991.22 - Step 5: Solve for x
x = 89,542,715,991.22/287,217.09 - Step 6: Final answer
x = 311,759.71
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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.