Finding the Fourth Proportional to 774,164,805.20, 1,161,247,207.80 and 199,736,133.20
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Solution
The fourth proportional to 774,164,805.20, 1,161,247,207.80 and 199,736,133.20 is: 299,604,199.80
Step by Step Solution
- Step 1: Write the proportion equation
774,164,805.20 : 1,161,247,207.80 = 199,736,133.20 : x - Step 2: Convert to fraction form
774,164,805.20/1,161,247,207.80 = 199,736,133.20/x - Step 3: Cross multiply
774,164,805.20x = 1,161,247,207.80 × 199,736,133.20 - Step 4: Simplify right side
774,164,805.20x = 231,943,026,975,268,864 - Step 5: Solve for x
x = 231,943,026,975,268,864/774,164,805.20 - Step 6: Final answer
x = 299,604,199.80
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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.