Finding the Fourth Proportional to 914,275,497.74, 1,261,678,727.40 and 537,956,459.42
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Solution
The fourth proportional to 914,275,497.74, 1,261,678,727.40 and 537,956,459.42 is: 742,367,287.32
Step by Step Solution
- Step 1: Write the proportion equation
914,275,497.74 : 1,261,678,727.40 = 537,956,459.42 : x - Step 2: Convert to fraction form
914,275,497.74/1,261,678,727.40 = 537,956,459.42/x - Step 3: Cross multiply
914,275,497.74x = 1,261,678,727.40 × 537,956,459.42 - Step 4: Simplify right side
914,275,497.74x = 678,728,221,117,635,328 - Step 5: Solve for x
x = 678,728,221,117,635,328/914,275,497.74 - Step 6: Final answer
x = 742,367,287.32
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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.