Finding the Fourth Proportional to 470,362.94, 649,370.09 and 309,685.07
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Solution
The fourth proportional to 470,362.94, 649,370.09 and 309,685.07 is: 427,542.65
Step by Step Solution
- Step 1: Write the proportion equation
470,362.94 : 649,370.09 = 309,685.07 : x - Step 2: Convert to fraction form
470,362.94/649,370.09 = 309,685.07/x - Step 3: Cross multiply
470,362.94x = 649,370.09 × 309,685.07 - Step 4: Simplify right side
470,362.94x = 201,100,219,304.92 - Step 5: Solve for x
x = 201,100,219,304.92/470,362.94 - Step 6: Final answer
x = 427,542.65
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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.