Finding the Fourth Proportional to 320,851,858,829.15, 442,786,183,868.68 and 176,341,110,778.46
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Solution
The fourth proportional to 320,851,858,829.15, 442,786,183,868.68 and 176,341,110,778.46 is: 243,356,568,934.00
Step by Step Solution
- Step 1: Write the proportion equation
320,851,858,829.15 : 442,786,183,868.68 = 176,341,110,778.46 : x - Step 2: Convert to fraction form
320,851,858,829.15/442,786,183,868.68 = 176,341,110,778.46/x - Step 3: Cross multiply
320,851,858,829.15x = 442,786,183,868.68 × 176,341,110,778.46 - Step 4: Simplify right side
320,851,858,829.15x = 78,081,407,500,758,458,302,464 - Step 5: Solve for x
x = 78,081,407,500,758,458,302,464/320,851,858,829.15 - Step 6: Final answer
x = 243,356,568,934.00
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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.