Finding the Fourth Proportional to 1,163,461,469.16, 1,745,063,287.47 and 416,447,406.21
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Solution
The fourth proportional to 1,163,461,469.16, 1,745,063,287.47 and 416,447,406.21 is: 624,624,965.25
Step by Step Solution
- Step 1: Write the proportion equation
1,163,461,469.16 : 1,745,063,287.47 = 416,447,406.21 : x - Step 2: Convert to fraction form
1,163,461,469.16/1,745,063,287.47 = 416,447,406.21/x - Step 3: Cross multiply
1,163,461,469.16x = 1,745,063,287.47 × 416,447,406.21 - Step 4: Simplify right side
1,163,461,469.16x = 726,727,079,739,177,088 - Step 5: Solve for x
x = 726,727,079,739,177,088/1,163,461,469.16 - Step 6: Final answer
x = 624,624,965.25
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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.