Finding the Fourth Proportional to 1,198,230,778.40, 1,797,545,233.20 and 471,243,207.20
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Solution
The fourth proportional to 1,198,230,778.40, 1,797,545,233.20 and 471,243,207.20 is: 706,943,099.82
Step by Step Solution
- Step 1: Write the proportion equation
1,198,230,778.40 : 1,797,545,233.20 = 471,243,207.20 : x - Step 2: Convert to fraction form
1,198,230,778.40/1,797,545,233.20 = 471,243,207.20/x - Step 3: Cross multiply
1,198,230,778.40x = 1,797,545,233.20 × 471,243,207.20 - Step 4: Simplify right side
1,198,230,778.40x = 847,080,980,780,239,872 - Step 5: Solve for x
x = 847,080,980,780,239,872/1,198,230,778.40 - Step 6: Final answer
x = 706,943,099.82
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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.