Finding the Fourth Proportional to 278,119.13, 383,802.09 and 157,284.14
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Solution
The fourth proportional to 278,119.13, 383,802.09 and 157,284.14 is: 217,050.81
Step by Step Solution
- Step 1: Write the proportion equation
278,119.13 : 383,802.09 = 157,284.14 : x - Step 2: Convert to fraction form
278,119.13/383,802.09 = 157,284.14/x - Step 3: Cross multiply
278,119.13x = 383,802.09 × 157,284.14 - Step 4: Simplify right side
278,119.13x = 60,365,981,655.85 - Step 5: Solve for x
x = 60,365,981,655.85/278,119.13 - Step 6: Final answer
x = 217,050.81
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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.