Finding the Fourth Proportional to 409,412.92, 564,982.29 and 228,120.94
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Solution
The fourth proportional to 409,412.92, 564,982.29 and 228,120.94 is: 314,802.70
Step by Step Solution
- Step 1: Write the proportion equation
409,412.92 : 564,982.29 = 228,120.94 : x - Step 2: Convert to fraction form
409,412.92/564,982.29 = 228,120.94/x - Step 3: Cross multiply
409,412.92x = 564,982.29 × 228,120.94 - Step 4: Simplify right side
409,412.92x = 128,884,291,078.15 - Step 5: Solve for x
x = 128,884,291,078.15/409,412.92 - Step 6: Final answer
x = 314,802.70
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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.