Finding the Fourth Proportional to 684,497,892.96, 944,727,835.68 and 406,192,870.08
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Solution
The fourth proportional to 684,497,892.96, 944,727,835.68 and 406,192,870.08 is: 560,617,811.93
Step by Step Solution
- Step 1: Write the proportion equation
684,497,892.96 : 944,727,835.68 = 406,192,870.08 : x - Step 2: Convert to fraction form
684,497,892.96/944,727,835.68 = 406,192,870.08/x - Step 3: Cross multiply
684,497,892.96x = 944,727,835.68 × 406,192,870.08 - Step 4: Simplify right side
684,497,892.96x = 383,741,711,019,325,760 - Step 5: Solve for x
x = 383,741,711,019,325,760/684,497,892.96 - Step 6: Final answer
x = 560,617,811.93
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1.5x scale
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.