Finding the Fourth Proportional to 284,102.19, 392,048.76 and 155,037.42
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Solution
The fourth proportional to 284,102.19, 392,048.76 and 155,037.42 is: 213,944.95
Step by Step Solution
- Step 1: Write the proportion equation
284,102.19 : 392,048.76 = 155,037.42 : x - Step 2: Convert to fraction form
284,102.19/392,048.76 = 155,037.42/x - Step 3: Cross multiply
284,102.19x = 392,048.76 × 155,037.42 - Step 4: Simplify right side
284,102.19x = 60,782,228,264.60 - Step 5: Solve for x
x = 60,782,228,264.60/284,102.19 - Step 6: Final answer
x = 213,944.95
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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.