Finding the Fourth Proportional to 1,468,188,817.40, 2,202,283,226.10 and 847,465,729.40
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Solution
The fourth proportional to 1,468,188,817.40, 2,202,283,226.10 and 847,465,729.40 is: 1,271,198,594.10
Step by Step Solution
- Step 1: Write the proportion equation
1,468,188,817.40 : 2,202,283,226.10 = 847,465,729.40 : x - Step 2: Convert to fraction form
1,468,188,817.40/2,202,283,226.10 = 847,465,729.40/x - Step 3: Cross multiply
1,468,188,817.40x = 2,202,283,226.10 × 847,465,729.40 - Step 4: Simplify right side
1,468,188,817.40x = 1,866,359,560,552,221,440 - Step 5: Solve for x
x = 1,866,359,560,552,221,440/1,468,188,817.40 - Step 6: Final answer
x = 1,271,198,594.10
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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.