Finding the Fourth Proportional to 205,998.24, 284,053.14 and 178,901.40
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Solution
The fourth proportional to 205,998.24, 284,053.14 and 178,901.40 is: 246,689.02
Step by Step Solution
- Step 1: Write the proportion equation
205,998.24 : 284,053.14 = 178,901.40 : x - Step 2: Convert to fraction form
205,998.24/284,053.14 = 178,901.40/x - Step 3: Cross multiply
205,998.24x = 284,053.14 × 178,901.40 - Step 4: Simplify right side
205,998.24x = 50,817,504,420.40 - Step 5: Solve for x
x = 50,817,504,420.40/205,998.24 - Step 6: Final answer
x = 246,689.02
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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.