Finding the Fourth Proportional to 419,723.36, 579,033.12 and 283,707.68
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Solution
The fourth proportional to 419,723.36, 579,033.12 and 283,707.68 is: 391,391.47
Step by Step Solution
- Step 1: Write the proportion equation
419,723.36 : 579,033.12 = 283,707.68 : x - Step 2: Convert to fraction form
419,723.36/579,033.12 = 283,707.68/x - Step 3: Cross multiply
419,723.36x = 579,033.12 × 283,707.68 - Step 4: Simplify right side
419,723.36x = 164,276,143,118.36 - Step 5: Solve for x
x = 164,276,143,118.36/419,723.36 - Step 6: Final answer
x = 391,391.47
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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.