Finding the Fourth Proportional to 316,081,798,215.68, 436,181,595,633.84 and 178,901,679,152.80
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Solution
The fourth proportional to 316,081,798,215.68, 436,181,595,633.84 and 178,901,679,152.80 is: 246,877,929,431.40
Step by Step Solution
- Step 1: Write the proportion equation
316,081,798,215.68 : 436,181,595,633.84 = 178,901,679,152.80 : x - Step 2: Convert to fraction form
316,081,798,215.68/436,181,595,633.84 = 178,901,679,152.80/x - Step 3: Cross multiply
316,081,798,215.68x = 436,181,595,633.84 × 178,901,679,152.80 - Step 4: Simplify right side
316,081,798,215.68x = 78,033,619,874,441,590,734,848 - Step 5: Solve for x
x = 78,033,619,874,441,590,734,848/316,081,798,215.68 - Step 6: Final answer
x = 246,877,929,431.40
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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.