Finding the Fourth Proportional to 275,348.19, 413,022.30 and 97,862.20
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Solution
The fourth proportional to 275,348.19, 413,022.30 and 97,862.20 is: 146,793.31
Step by Step Solution
- Step 1: Write the proportion equation
275,348.19 : 413,022.30 = 97,862.20 : x - Step 2: Convert to fraction form
275,348.19/413,022.30 = 97,862.20/x - Step 3: Cross multiply
275,348.19x = 413,022.30 × 97,862.20 - Step 4: Simplify right side
275,348.19x = 40,419,270,927.06 - Step 5: Solve for x
x = 40,419,270,927.06/275,348.19 - Step 6: Final answer
x = 146,793.31
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.