Finding the Fourth Proportional to 1,634,905,185.36, 2,259,120,405.69 and 1,164,189,291.36
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Solution
The fourth proportional to 1,634,905,185.36, 2,259,120,405.69 and 1,164,189,291.36 is: 1,608,682,758.94
Step by Step Solution
- Step 1: Write the proportion equation
1,634,905,185.36 : 2,259,120,405.69 = 1,164,189,291.36 : x - Step 2: Convert to fraction form
1,634,905,185.36/2,259,120,405.69 = 1,164,189,291.36/x - Step 3: Cross multiply
1,634,905,185.36x = 2,259,120,405.69 × 1,164,189,291.36 - Step 4: Simplify right side
1,634,905,185.36x = 2,630,043,784,197,156,864 - Step 5: Solve for x
x = 2,630,043,784,197,156,864/1,634,905,185.36 - Step 6: Final answer
x = 1,608,682,758.94
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.