Finding the Fourth Proportional to 380,137.80, 524,591.56 and 205,708.02
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Solution
The fourth proportional to 380,137.80, 524,591.56 and 205,708.02 is: 283,877.82
Step by Step Solution
- Step 1: Write the proportion equation
380,137.80 : 524,591.56 = 205,708.02 : x - Step 2: Convert to fraction form
380,137.80/524,591.56 = 205,708.02/x - Step 3: Cross multiply
380,137.80x = 524,591.56 × 205,708.02 - Step 4: Simplify right side
380,137.80x = 107,912,691,116.31 - Step 5: Solve for x
x = 107,912,691,116.31/380,137.80 - Step 6: Final answer
x = 283,877.82
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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.