Finding the Fourth Proportional to 1,981,734,135.37, 2,972,533,878.95 and 507,888,416.41
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Solution
The fourth proportional to 1,981,734,135.37, 2,972,533,878.95 and 507,888,416.41 is: 761,815,370.47
Step by Step Solution
- Step 1: Write the proportion equation
1,981,734,135.37 : 2,972,533,878.95 = 507,888,416.41 : x - Step 2: Convert to fraction form
1,981,734,135.37/2,972,533,878.95 = 507,888,416.41/x - Step 3: Cross multiply
1,981,734,135.37x = 2,972,533,878.95 × 507,888,416.41 - Step 4: Simplify right side
1,981,734,135.37x = 1,509,715,524,504,990,208 - Step 5: Solve for x
x = 1,509,715,524,504,990,208/1,981,734,135.37 - Step 6: Final answer
x = 761,815,370.47
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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.