Finding the Fourth Proportional to 378,400,005,594.44, 522,195,264,175.38 and 215,827,886,225.96
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Solution
The fourth proportional to 378,400,005,594.44, 522,195,264,175.38 and 215,827,886,225.96 is: 297,844,340,375.02
Step by Step Solution
- Step 1: Write the proportion equation
378,400,005,594.44 : 522,195,264,175.38 = 215,827,886,225.96 : x - Step 2: Convert to fraction form
378,400,005,594.44/522,195,264,175.38 = 215,827,886,225.96/x - Step 3: Cross multiply
378,400,005,594.44x = 522,195,264,175.38 × 215,827,886,225.96 - Step 4: Simplify right side
378,400,005,594.44x = 112,704,300,064,179,031,638,016 - Step 5: Solve for x
x = 112,704,300,064,179,031,638,016/378,400,005,594.44 - Step 6: Final answer
x = 297,844,340,375.02
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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.