Finding the Fourth Proportional to 1,328,724,154.80, 1,993,086,232.20 and 408,480,919.20
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Solution
The fourth proportional to 1,328,724,154.80, 1,993,086,232.20 and 408,480,919.20 is: 612,721,378.80
Step by Step Solution
- Step 1: Write the proportion equation
1,328,724,154.80 : 1,993,086,232.20 = 408,480,919.20 : x - Step 2: Convert to fraction form
1,328,724,154.80/1,993,086,232.20 = 408,480,919.20/x - Step 3: Cross multiply
1,328,724,154.80x = 1,993,086,232.20 × 408,480,919.20 - Step 4: Simplify right side
1,328,724,154.80x = 814,137,696,173,920,640 - Step 5: Solve for x
x = 814,137,696,173,920,640/1,328,724,154.80 - Step 6: Final answer
x = 612,721,378.80
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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.