Finding the Fourth Proportional to 266,517,475,694.40, 399,762,133,659.68 and 87,419,871,105.07
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Solution
The fourth proportional to 266,517,475,694.40, 399,762,133,659.68 and 87,419,871,105.07 is: 131,125,188,343.33
Step by Step Solution
- Step 1: Write the proportion equation
266,517,475,694.40 : 399,762,133,659.68 = 87,419,871,105.07 : x - Step 2: Convert to fraction form
266,517,475,694.40/399,762,133,659.68 = 87,419,871,105.07/x - Step 3: Cross multiply
266,517,475,694.40x = 399,762,133,659.68 × 87,419,871,105.07 - Step 4: Simplify right side
266,517,475,694.40x = 34,947,154,197,216,189,480,960 - Step 5: Solve for x
x = 34,947,154,197,216,189,480,960/266,517,475,694.40 - Step 6: Final answer
x = 131,125,188,343.33
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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.