Finding the Fourth Proportional to 428,002,198.76, 590,643,120.68 and 260,738,409.41
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Solution
The fourth proportional to 428,002,198.76, 590,643,120.68 and 260,738,409.41 is: 359,819,057.61
Step by Step Solution
- Step 1: Write the proportion equation
428,002,198.76 : 590,643,120.68 = 260,738,409.41 : x - Step 2: Convert to fraction form
428,002,198.76/590,643,120.68 = 260,738,409.41/x - Step 3: Cross multiply
428,002,198.76x = 590,643,120.68 × 260,738,409.41 - Step 4: Simplify right side
428,002,198.76x = 154,003,347,813,994,368 - Step 5: Solve for x
x = 154,003,347,813,994,368/428,002,198.76 - Step 6: Final answer
x = 359,819,057.61
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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.