Finding the Fourth Proportional to 298,456.82, 411,857.97 and 164,312.18
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Solution
The fourth proportional to 298,456.82, 411,857.97 and 164,312.18 is: 226,743.96
Step by Step Solution
- Step 1: Write the proportion equation
298,456.82 : 411,857.97 = 164,312.18 : x - Step 2: Convert to fraction form
298,456.82/411,857.97 = 164,312.18/x - Step 3: Cross multiply
298,456.82x = 411,857.97 × 164,312.18 - Step 4: Simplify right side
298,456.82x = 67,673,280,901.07 - Step 5: Solve for x
x = 67,673,280,901.07/298,456.82 - Step 6: Final answer
x = 226,743.96
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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.