Finding the Fourth Proportional to 320,851,858,952.79, 442,786,184,039.21 and 176,341,110,902.12
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Solution
The fourth proportional to 320,851,858,952.79, 442,786,184,039.21 and 176,341,110,902.12 is: 243,356,569,104.60
Step by Step Solution
- Step 1: Write the proportion equation
320,851,858,952.79 : 442,786,184,039.21 = 176,341,110,902.12 : x - Step 2: Convert to fraction form
320,851,858,952.79/442,786,184,039.21 = 176,341,110,902.12/x - Step 3: Cross multiply
320,851,858,952.79x = 442,786,184,039.21 × 176,341,110,902.12 - Step 4: Simplify right side
320,851,858,952.79x = 78,081,407,585,584,850,927,616 - Step 5: Solve for x
x = 78,081,407,585,584,850,927,616/320,851,858,952.79 - Step 6: Final answer
x = 243,356,569,104.60
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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.