Finding the Fourth Proportional to 527,724,433.12, 728,177,589.84 and 301,660,189.60
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Solution
The fourth proportional to 527,724,433.12, 728,177,589.84 and 301,660,189.60 is: 416,244,115.35
Step by Step Solution
- Step 1: Write the proportion equation
527,724,433.12 : 728,177,589.84 = 301,660,189.60 : x - Step 2: Convert to fraction form
527,724,433.12/728,177,589.84 = 301,660,189.60/x - Step 3: Cross multiply
527,724,433.12x = 728,177,589.84 × 301,660,189.60 - Step 4: Simplify right side
527,724,433.12x = 219,662,189,813,605,472 - Step 5: Solve for x
x = 219,662,189,813,605,472/527,724,433.12 - Step 6: Final answer
x = 416,244,115.35
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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.