Finding the Fourth Proportional to 470,194.74, 705,292.11 and 115,205.69
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Solution
The fourth proportional to 470,194.74, 705,292.11 and 115,205.69 is: 172,808.53
Step by Step Solution
- Step 1: Write the proportion equation
470,194.74 : 705,292.11 = 115,205.69 : x - Step 2: Convert to fraction form
470,194.74/705,292.11 = 115,205.69/x - Step 3: Cross multiply
470,194.74x = 705,292.11 × 115,205.69 - Step 4: Simplify right side
470,194.74x = 81,253,660,657.65 - Step 5: Solve for x
x = 81,253,660,657.65/470,194.74 - Step 6: Final answer
x = 172,808.53
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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.