Finding the Fourth Proportional to 345,694,740,404.16, 477,064,389,700.98 and 189,262,322,596
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Solution
The fourth proportional to 345,694,740,404.16, 477,064,389,700.98 and 189,262,322,596 is: 261,185,097,340.76
Step by Step Solution
- Step 1: Write the proportion equation
345,694,740,404.16 : 477,064,389,700.98 = 189,262,322,596 : x - Step 2: Convert to fraction form
345,694,740,404.16/477,064,389,700.98 = 189,262,322,596/x - Step 3: Cross multiply
345,694,740,404.16x = 477,064,389,700.98 × 189,262,322,596 - Step 4: Simplify right side
345,694,740,404.16x = 90,290,314,422,650,736,214,016 - Step 5: Solve for x
x = 90,290,314,422,650,736,214,016/345,694,740,404.16 - Step 6: Final answer
x = 261,185,097,340.76
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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.