Finding the Fourth Proportional to 724,043,504.20, 1,086,065,256.30 and 264,311,609.80
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Solution
The fourth proportional to 724,043,504.20, 1,086,065,256.30 and 264,311,609.80 is: 396,467,414.70
Step by Step Solution
- Step 1: Write the proportion equation
724,043,504.20 : 1,086,065,256.30 = 264,311,609.80 : x - Step 2: Convert to fraction form
724,043,504.20/1,086,065,256.30 = 264,311,609.80/x - Step 3: Cross multiply
724,043,504.20x = 1,086,065,256.30 × 264,311,609.80 - Step 4: Simplify right side
724,043,504.20x = 287,059,656,240,502,592 - Step 5: Solve for x
x = 287,059,656,240,502,592/724,043,504.20 - Step 6: Final answer
x = 396,467,414.70
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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.