Finding the Fourth Proportional to 305,028.26, 457,542.37 and 83,412.26
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Solution
The fourth proportional to 305,028.26, 457,542.37 and 83,412.26 is: 125,118.38
Step by Step Solution
- Step 1: Write the proportion equation
305,028.26 : 457,542.37 = 83,412.26 : x - Step 2: Convert to fraction form
305,028.26/457,542.37 = 83,412.26/x - Step 3: Cross multiply
305,028.26x = 457,542.37 × 83,412.26 - Step 4: Simplify right side
305,028.26x = 38,164,643,127.46 - Step 5: Solve for x
x = 38,164,643,127.46/305,028.26 - Step 6: Final answer
x = 125,118.38
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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.