Finding the Fourth Proportional to 667,124,867.98, 1,000,485,831.84 and 200,662,463.62
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Solution
The fourth proportional to 667,124,867.98, 1,000,485,831.84 and 200,662,463.62 is: 300,933,095.83
Step by Step Solution
- Step 1: Write the proportion equation
667,124,867.98 : 1,000,485,831.84 = 200,662,463.62 : x - Step 2: Convert to fraction form
667,124,867.98/1,000,485,831.84 = 200,662,463.62/x - Step 3: Cross multiply
667,124,867.98x = 1,000,485,831.84 × 200,662,463.62 - Step 4: Simplify right side
667,124,867.98x = 200,759,951,828,804,864 - Step 5: Solve for x
x = 200,759,951,828,804,864/667,124,867.98 - Step 6: Final answer
x = 300,933,095.83
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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.