Finding the Fourth Proportional to 282,297,880.40, 422,879,950.20 and 160,987,614.80
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Solution
The fourth proportional to 282,297,880.40, 422,879,950.20 and 160,987,614.80 is: 241,158,149.80
Step by Step Solution
- Step 1: Write the proportion equation
282,297,880.40 : 422,879,950.20 = 160,987,614.80 : x - Step 2: Convert to fraction form
282,297,880.40/422,879,950.20 = 160,987,614.80/x - Step 3: Cross multiply
282,297,880.40x = 422,879,950.20 × 160,987,614.80 - Step 4: Simplify right side
282,297,880.40x = 68,078,434,529,440,784 - Step 5: Solve for x
x = 68,078,434,529,440,784/282,297,880.40 - Step 6: Final answer
x = 241,158,149.80
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1.5x scale
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.