Finding the Fourth Proportional to 205,511.76, 283,492.68 and 167,312.40
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Solution
The fourth proportional to 205,511.76, 283,492.68 and 167,312.40 is: 230,798.67
Step by Step Solution
- Step 1: Write the proportion equation
205,511.76 : 283,492.68 = 167,312.40 : x - Step 2: Convert to fraction form
205,511.76/283,492.68 = 167,312.40/x - Step 3: Cross multiply
205,511.76x = 283,492.68 × 167,312.40 - Step 4: Simplify right side
205,511.76x = 47,431,840,673.23 - Step 5: Solve for x
x = 47,431,840,673.23/205,511.76 - Step 6: Final answer
x = 230,798.67
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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.