Finding the Fourth Proportional to 306,320,767.36, 422,725,356.84 and 167,092,148.32
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Solution
The fourth proportional to 306,320,767.36, 422,725,356.84 and 167,092,148.32 is: 230,588,636.33
Step by Step Solution
- Step 1: Write the proportion equation
306,320,767.36 : 422,725,356.84 = 167,092,148.32 : x - Step 2: Convert to fraction form
306,320,767.36/422,725,356.84 = 167,092,148.32/x - Step 3: Cross multiply
306,320,767.36x = 422,725,356.84 × 167,092,148.32 - Step 4: Simplify right side
306,320,767.36x = 70,634,088,023,734,200 - Step 5: Solve for x
x = 70,634,088,023,734,200/306,320,767.36 - Step 6: Final answer
x = 230,588,636.33
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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.