Finding the Fourth Proportional to 734,743.42, 1,013,945.43 and 412,454.14
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Solution
The fourth proportional to 734,743.42, 1,013,945.43 and 412,454.14 is: 569,186.44
Step by Step Solution
- Step 1: Write the proportion equation
734,743.42 : 1,013,945.43 = 412,454.14 : x - Step 2: Convert to fraction form
734,743.42/1,013,945.43 = 412,454.14/x - Step 3: Cross multiply
734,743.42x = 1,013,945.43 × 412,454.14 - Step 4: Simplify right side
734,743.42x = 418,205,990,337.58 - Step 5: Solve for x
x = 418,205,990,337.58/734,743.42 - Step 6: Final answer
x = 569,186.44
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1.5x scale
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.