Finding the Fourth Proportional to 284,361,470.10, 426,542,205.15 and 198,197,169.30
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Solution
The fourth proportional to 284,361,470.10, 426,542,205.15 and 198,197,169.30 is: 297,295,753.95
Step by Step Solution
- Step 1: Write the proportion equation
284,361,470.10 : 426,542,205.15 = 198,197,169.30 : x - Step 2: Convert to fraction form
284,361,470.10/426,542,205.15 = 198,197,169.30/x - Step 3: Cross multiply
284,361,470.10x = 426,542,205.15 × 198,197,169.30 - Step 4: Simplify right side
284,361,470.10x = 84,539,457,647,709,888 - Step 5: Solve for x
x = 84,539,457,647,709,888/284,361,470.10 - Step 6: Final answer
x = 297,295,753.95
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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.