Finding the Fourth Proportional to 1,098,135,800.48, 1,647,202,309.68 and 280,248,119.84
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Solution
The fourth proportional to 1,098,135,800.48, 1,647,202,309.68 and 280,248,119.84 is: 420,371,824.76
Step by Step Solution
- Step 1: Write the proportion equation
1,098,135,800.48 : 1,647,202,309.68 = 280,248,119.84 : x - Step 2: Convert to fraction form
1,098,135,800.48/1,647,202,309.68 = 280,248,119.84/x - Step 3: Cross multiply
1,098,135,800.48x = 1,647,202,309.68 × 280,248,119.84 - Step 4: Simplify right side
1,098,135,800.48x = 461,625,350,283,925,376 - Step 5: Solve for x
x = 461,625,350,283,925,376/1,098,135,800.48 - Step 6: Final answer
x = 420,371,824.76
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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.