Finding the Fourth Proportional to 285,090,464,379.16, 393,458,568,705.84 and 169,347,681,299.80
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Solution
The fourth proportional to 285,090,464,379.16, 393,458,568,705.84 and 169,347,681,299.80 is: 233,719,835,010.88
Step by Step Solution
- Step 1: Write the proportion equation
285,090,464,379.16 : 393,458,568,705.84 = 169,347,681,299.80 : x - Step 2: Convert to fraction form
285,090,464,379.16/393,458,568,705.84 = 169,347,681,299.80/x - Step 3: Cross multiply
285,090,464,379.16x = 393,458,568,705.84 × 169,347,681,299.80 - Step 4: Simplify right side
285,090,464,379.16x = 66,631,296,297,872,050,356,224 - Step 5: Solve for x
x = 66,631,296,297,872,050,356,224/285,090,464,379.16 - Step 6: Final answer
x = 233,719,835,010.88
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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.