Finding the Fourth Proportional to 204,546,338.20, 282,190,382.20 and 151,029,257.65
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Solution
The fourth proportional to 204,546,338.20, 282,190,382.20 and 151,029,257.65 is: 208,358,674.69
Step by Step Solution
- Step 1: Write the proportion equation
204,546,338.20 : 282,190,382.20 = 151,029,257.65 : x - Step 2: Convert to fraction form
204,546,338.20/282,190,382.20 = 151,029,257.65/x - Step 3: Cross multiply
204,546,338.20x = 282,190,382.20 × 151,029,257.65 - Step 4: Simplify right side
204,546,338.20x = 42,619,003,939,635,776 - Step 5: Solve for x
x = 42,619,003,939,635,776/204,546,338.20 - Step 6: Final answer
x = 208,358,674.69
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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.