Finding the Fourth Proportional to 284,470.49, 392,535.83 and 157,138.49
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Solution
The fourth proportional to 284,470.49, 392,535.83 and 157,138.49 is: 216,832.64
Step by Step Solution
- Step 1: Write the proportion equation
284,470.49 : 392,535.83 = 157,138.49 : x - Step 2: Convert to fraction form
284,470.49/392,535.83 = 157,138.49/x - Step 3: Cross multiply
284,470.49x = 392,535.83 × 157,138.49 - Step 4: Simplify right side
284,470.49x = 61,682,486,027.26 - Step 5: Solve for x
x = 61,682,486,027.26/284,470.49 - Step 6: Final answer
x = 216,832.64
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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.