Finding the Fourth Proportional to 320,851,858,828.84, 442,786,183,868.23 and 176,341,110,778.17
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Solution
The fourth proportional to 320,851,858,828.84, 442,786,183,868.23 and 176,341,110,778.17 is: 243,356,568,933.59
Step by Step Solution
- Step 1: Write the proportion equation
320,851,858,828.84 : 442,786,183,868.23 = 176,341,110,778.17 : x - Step 2: Convert to fraction form
320,851,858,828.84/442,786,183,868.23 = 176,341,110,778.17/x - Step 3: Cross multiply
320,851,858,828.84x = 442,786,183,868.23 × 176,341,110,778.17 - Step 4: Simplify right side
320,851,858,828.84x = 78,081,407,500,550,706,036,736 - Step 5: Solve for x
x = 78,081,407,500,550,706,036,736/320,851,858,828.84 - Step 6: Final answer
x = 243,356,568,933.59
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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.