Finding the Fourth Proportional to 205,424.09, 283,479.93 and 114,780.80
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Solution
The fourth proportional to 205,424.09, 283,479.93 and 114,780.80 is: 158,394.53
Step by Step Solution
- Step 1: Write the proportion equation
205,424.09 : 283,479.93 = 114,780.80 : x - Step 2: Convert to fraction form
205,424.09/283,479.93 = 114,780.80/x - Step 3: Cross multiply
205,424.09x = 283,479.93 × 114,780.80 - Step 4: Simplify right side
205,424.09x = 32,538,051,731.94 - Step 5: Solve for x
x = 32,538,051,731.94/205,424.09 - Step 6: Final answer
x = 158,394.53
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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.