Finding the Fourth Proportional to 205,478.12, 283,554.18 and 114,834.48
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Solution
The fourth proportional to 205,478.12, 283,554.18 and 114,834.48 is: 158,468.44
Step by Step Solution
- Step 1: Write the proportion equation
205,478.12 : 283,554.18 = 114,834.48 : x - Step 2: Convert to fraction form
205,478.12/283,554.18 = 114,834.48/x - Step 3: Cross multiply
205,478.12x = 283,554.18 × 114,834.48 - Step 4: Simplify right side
205,478.12x = 32,561,796,812.13 - Step 5: Solve for x
x = 32,561,796,812.13/205,478.12 - Step 6: Final answer
x = 158,468.44
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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.