Finding the Fourth Proportional to 296,478.09, 409,140.03 and 160,512.13
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Solution
The fourth proportional to 296,478.09, 409,140.03 and 160,512.13 is: 221,506.88
Step by Step Solution
- Step 1: Write the proportion equation
296,478.09 : 409,140.03 = 160,512.13 : x - Step 2: Convert to fraction form
296,478.09/409,140.03 = 160,512.13/x - Step 3: Cross multiply
296,478.09x = 409,140.03 × 160,512.13 - Step 4: Simplify right side
296,478.09x = 65,671,938,232.61 - Step 5: Solve for x
x = 65,671,938,232.61/296,478.09 - Step 6: Final answer
x = 221,506.88
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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.