Finding the Fourth Proportional to 268,427,272,897.68, 402,704,902,991.16 and 86,910,160,173.09
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Solution
The fourth proportional to 268,427,272,897.68, 402,704,902,991.16 and 86,910,160,173.09 is: 130,385,959,830.51
Step by Step Solution
- Step 1: Write the proportion equation
268,427,272,897.68 : 402,704,902,991.16 = 86,910,160,173.09 : x - Step 2: Convert to fraction form
268,427,272,897.68/402,704,902,991.16 = 86,910,160,173.09/x - Step 3: Cross multiply
268,427,272,897.68x = 402,704,902,991.16 × 86,910,160,173.09 - Step 4: Simplify right side
268,427,272,897.68x = 34,999,147,621,450,382,311,424 - Step 5: Solve for x
x = 34,999,147,621,450,382,311,424/268,427,272,897.68 - Step 6: Final answer
x = 130,385,959,830.51
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.