Finding the Fourth Proportional to 356,313,501,926.97, 491,730,299,032.99 and 221,026,267,168.16
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Solution
The fourth proportional to 356,313,501,926.97, 491,730,299,032.99 and 221,026,267,168.16 is: 305,027,207,391.71
Step by Step Solution
- Step 1: Write the proportion equation
356,313,501,926.97 : 491,730,299,032.99 = 221,026,267,168.16 : x - Step 2: Convert to fraction form
356,313,501,926.97/491,730,299,032.99 = 221,026,267,168.16/x - Step 3: Cross multiply
356,313,501,926.97x = 491,730,299,032.99 × 221,026,267,168.16 - Step 4: Simplify right side
356,313,501,926.97x = 108,685,312,448,744,860,418,048 - Step 5: Solve for x
x = 108,685,312,448,744,860,418,048/356,313,501,926.97 - Step 6: Final answer
x = 305,027,207,391.71
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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.