Finding the Fourth Proportional to 470,476.19, 705,728.12 and 115,490.20
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Solution
The fourth proportional to 470,476.19, 705,728.12 and 115,490.20 is: 173,238.70
Step by Step Solution
- Step 1: Write the proportion equation
470,476.19 : 705,728.12 = 115,490.20 : x - Step 2: Convert to fraction form
470,476.19/705,728.12 = 115,490.20/x - Step 3: Cross multiply
470,476.19x = 705,728.12 × 115,490.20 - Step 4: Simplify right side
470,476.19x = 81,504,681,724.42 - Step 5: Solve for x
x = 81,504,681,724.42/470,476.19 - Step 6: Final answer
x = 173,238.70
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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.