Finding the Fourth Proportional to 461,228.92, 691,547.01 and 191,543.09
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Solution
The fourth proportional to 461,228.92, 691,547.01 and 191,543.09 is: 287,191.55
Step by Step Solution
- Step 1: Write the proportion equation
461,228.92 : 691,547.01 = 191,543.09 : x - Step 2: Convert to fraction form
461,228.92/691,547.01 = 191,543.09/x - Step 3: Cross multiply
461,228.92x = 691,547.01 × 191,543.09 - Step 4: Simplify right side
461,228.92x = 132,461,047,717.93 - Step 5: Solve for x
x = 132,461,047,717.93/461,228.92 - Step 6: Final answer
x = 287,191.55
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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.