Finding the Fourth Proportional to 406,438.29, 610,035.71 and 206,908.05
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Solution
The fourth proportional to 406,438.29, 610,035.71 and 206,908.05 is: 310,554.65
Step by Step Solution
- Step 1: Write the proportion equation
406,438.29 : 610,035.71 = 206,908.05 : x - Step 2: Convert to fraction form
406,438.29/610,035.71 = 206,908.05/x - Step 3: Cross multiply
406,438.29x = 610,035.71 × 206,908.05 - Step 4: Simplify right side
406,438.29x = 126,221,299,186.47 - Step 5: Solve for x
x = 126,221,299,186.47/406,438.29 - Step 6: Final answer
x = 310,554.65
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.