Finding the Fourth Proportional to 497,433.09, 686,262.80 and 306,114.33
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Solution
The fourth proportional to 497,433.09, 686,262.80 and 306,114.33 is: 422,317.86
Step by Step Solution
- Step 1: Write the proportion equation
497,433.09 : 686,262.80 = 306,114.33 : x - Step 2: Convert to fraction form
497,433.09/686,262.80 = 306,114.33/x - Step 3: Cross multiply
497,433.09x = 686,262.80 × 306,114.33 - Step 4: Simplify right side
497,433.09x = 210,074,877,991.21 - Step 5: Solve for x
x = 210,074,877,991.21/497,433.09 - Step 6: Final answer
x = 422,317.86
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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.