Finding the Fourth Proportional to 306,266,454,783.85, 422,684,769,081.20 and 174,310,887,340.19
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Solution
The fourth proportional to 306,266,454,783.85, 422,684,769,081.20 and 174,310,887,340.19 is: 240,570,117,989.99
Step by Step Solution
- Step 1: Write the proportion equation
306,266,454,783.85 : 422,684,769,081.20 = 174,310,887,340.19 : x - Step 2: Convert to fraction form
306,266,454,783.85/422,684,769,081.20 = 174,310,887,340.19/x - Step 3: Cross multiply
306,266,454,783.85x = 422,684,769,081.20 × 174,310,887,340.19 - Step 4: Simplify right side
306,266,454,783.85x = 73,678,557,163,727,284,600,832 - Step 5: Solve for x
x = 73,678,557,163,727,284,600,832/306,266,454,783.85 - Step 6: Final answer
x = 240,570,117,989.99
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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.