Finding the Fourth Proportional to 762,542,275, 1,052,250,588.84 and 427,950,176.80
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Solution
The fourth proportional to 762,542,275, 1,052,250,588.84 and 427,950,176.80 is: 590,538,833.45
Step by Step Solution
- Step 1: Write the proportion equation
762,542,275 : 1,052,250,588.84 = 427,950,176.80 : x - Step 2: Convert to fraction form
762,542,275/1,052,250,588.84 = 427,950,176.80/x - Step 3: Cross multiply
762,542,275x = 1,052,250,588.84 × 427,950,176.80 - Step 4: Simplify right side
762,542,275x = 450,310,825,531,982,144 - Step 5: Solve for x
x = 450,310,825,531,982,144/762,542,275 - Step 6: Final answer
x = 590,538,833.45
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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.