Finding the Fourth Proportional to 186,876,203.40, 280,314,305.10 and 110,285,713.80
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Solution
The fourth proportional to 186,876,203.40, 280,314,305.10 and 110,285,713.80 is: 165,428,570.70
Step by Step Solution
- Step 1: Write the proportion equation
186,876,203.40 : 280,314,305.10 = 110,285,713.80 : x - Step 2: Convert to fraction form
186,876,203.40/280,314,305.10 = 110,285,713.80/x - Step 3: Cross multiply
186,876,203.40x = 280,314,305.10 × 110,285,713.80 - Step 4: Simplify right side
186,876,203.40x = 30,914,663,226,304,484 - Step 5: Solve for x
x = 30,914,663,226,304,484/186,876,203.40 - Step 6: Final answer
x = 165,428,570.70
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.