Finding the Fourth Proportional to 864,317,442.09, 1,296,682,416.38 and 282,052,770.96
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Solution
The fourth proportional to 864,317,442.09, 1,296,682,416.38 and 282,052,770.96 is: 423,146,463.08
Step by Step Solution
- Step 1: Write the proportion equation
864,317,442.09 : 1,296,682,416.38 = 282,052,770.96 : x - Step 2: Convert to fraction form
864,317,442.09/1,296,682,416.38 = 282,052,770.96/x - Step 3: Cross multiply
864,317,442.09x = 1,296,682,416.38 × 282,052,770.96 - Step 4: Simplify right side
864,317,442.09x = 365,732,868,595,087,488 - Step 5: Solve for x
x = 365,732,868,595,087,488/864,317,442.09 - Step 6: Final answer
x = 423,146,463.08
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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.