Finding the Fourth Proportional to 284,434.74, 392,512.43 and 157,107.60
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Solution
The fourth proportional to 284,434.74, 392,512.43 and 157,107.60 is: 216,804.34
Step by Step Solution
- Step 1: Write the proportion equation
284,434.74 : 392,512.43 = 157,107.60 : x - Step 2: Convert to fraction form
284,434.74/392,512.43 = 157,107.60/x - Step 3: Cross multiply
284,434.74x = 392,512.43 × 157,107.60 - Step 4: Simplify right side
284,434.74x = 61,666,686,240.24 - Step 5: Solve for x
x = 61,666,686,240.24/284,434.74 - Step 6: Final answer
x = 216,804.34
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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.