Finding the Fourth Proportional to 204,270,664.50, 281,980,497.83 and 137,328,446.70
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Solution
The fourth proportional to 204,270,664.50, 281,980,497.83 and 137,328,446.70 is: 189,571,732.49
Step by Step Solution
- Step 1: Write the proportion equation
204,270,664.50 : 281,980,497.83 = 137,328,446.70 : x - Step 2: Convert to fraction form
204,270,664.50/281,980,497.83 = 137,328,446.70/x - Step 3: Cross multiply
204,270,664.50x = 281,980,497.83 × 137,328,446.70 - Step 4: Simplify right side
204,270,664.50x = 38,723,943,765,999,976 - Step 5: Solve for x
x = 38,723,943,765,999,976/204,270,664.50 - Step 6: Final answer
x = 189,571,732.49
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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.