Finding the Fourth Proportional to 1,098,135,816.48, 1,647,202,333.68 and 280,248,135.84
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Solution
The fourth proportional to 1,098,135,816.48, 1,647,202,333.68 and 280,248,135.84 is: 420,371,848.76
Step by Step Solution
- Step 1: Write the proportion equation
1,098,135,816.48 : 1,647,202,333.68 = 280,248,135.84 : x - Step 2: Convert to fraction form
1,098,135,816.48/1,647,202,333.68 = 280,248,135.84/x - Step 3: Cross multiply
1,098,135,816.48x = 1,647,202,333.68 × 280,248,135.84 - Step 4: Simplify right side
1,098,135,816.48x = 461,625,383,365,117,632 - Step 5: Solve for x
x = 461,625,383,365,117,632/1,098,135,816.48 - Step 6: Final answer
x = 420,371,848.76
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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.