Finding the Fourth Proportional to 1,147,726,471.06, 1,584,351,245.14 and 771,601,197.70
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Solution
The fourth proportional to 1,147,726,471.06, 1,584,351,245.14 and 771,601,197.70 is: 1,065,138,209.45
Step by Step Solution
- Step 1: Write the proportion equation
1,147,726,471.06 : 1,584,351,245.14 = 771,601,197.70 : x - Step 2: Convert to fraction form
1,147,726,471.06/1,584,351,245.14 = 771,601,197.70/x - Step 3: Cross multiply
1,147,726,471.06x = 1,584,351,245.14 × 771,601,197.70 - Step 4: Simplify right side
1,147,726,471.06x = 1,222,487,318,327,510,528 - Step 5: Solve for x
x = 1,222,487,318,327,510,528/1,147,726,471.06 - Step 6: Final answer
x = 1,065,138,209.45
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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.