Finding the Fourth Proportional to 513,353,842.68, 708,423,481.26 and 278,409,687.96
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Solution
The fourth proportional to 513,353,842.68, 708,423,481.26 and 278,409,687.96 is: 384,202,754.44
Step by Step Solution
- Step 1: Write the proportion equation
513,353,842.68 : 708,423,481.26 = 278,409,687.96 : x - Step 2: Convert to fraction form
513,353,842.68/708,423,481.26 = 278,409,687.96/x - Step 3: Cross multiply
513,353,842.68x = 708,423,481.26 × 278,409,687.96 - Step 4: Simplify right side
513,353,842.68x = 197,231,960,361,133,504 - Step 5: Solve for x
x = 197,231,960,361,133,504/513,353,842.68 - Step 6: Final answer
x = 384,202,754.44
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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.