Finding the Fourth Proportional to 201,218,102.90, 301,827,154.35 and 160,907,318.90
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Solution
The fourth proportional to 201,218,102.90, 301,827,154.35 and 160,907,318.90 is: 241,360,978.35
Step by Step Solution
- Step 1: Write the proportion equation
201,218,102.90 : 301,827,154.35 = 160,907,318.90 : x - Step 2: Convert to fraction form
201,218,102.90/301,827,154.35 = 160,907,318.90/x - Step 3: Cross multiply
201,218,102.90x = 301,827,154.35 × 160,907,318.90 - Step 4: Simplify right side
201,218,102.90x = 48,566,198,177,674,976 - Step 5: Solve for x
x = 48,566,198,177,674,976/201,218,102.90 - Step 6: Final answer
x = 241,360,978.35
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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.