Finding the Fourth Proportional to 256,807.26, 385,071.69 and 142,990.14
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Solution
The fourth proportional to 256,807.26, 385,071.69 and 142,990.14 is: 214,407.70
Step by Step Solution
- Step 1: Write the proportion equation
256,807.26 : 385,071.69 = 142,990.14 : x - Step 2: Convert to fraction form
256,807.26/385,071.69 = 142,990.14/x - Step 3: Cross multiply
256,807.26x = 385,071.69 × 142,990.14 - Step 4: Simplify right side
256,807.26x = 55,061,454,863.14 - Step 5: Solve for x
x = 55,061,454,863.14/256,807.26 - Step 6: Final answer
x = 214,407.70
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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.