Finding the Fourth Proportional to 210,806,183,006.94, 290,912,532,549.62 and 120,585,636,631.07
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Solution
The fourth proportional to 210,806,183,006.94, 290,912,532,549.62 and 120,585,636,631.07 is: 166,408,178,550.90
Step by Step Solution
- Step 1: Write the proportion equation
210,806,183,006.94 : 290,912,532,549.62 = 120,585,636,631.07 : x - Step 2: Convert to fraction form
210,806,183,006.94/290,912,532,549.62 = 120,585,636,631.07/x - Step 3: Cross multiply
210,806,183,006.94x = 290,912,532,549.62 × 120,585,636,631.07 - Step 4: Simplify right side
210,806,183,006.94x = 35,079,872,941,452,802,654,208 - Step 5: Solve for x
x = 35,079,872,941,452,802,654,208/210,806,183,006.94 - Step 6: Final answer
x = 166,408,178,550.90
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1.5x scale
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.