Finding the Fourth Proportional to 256,971,319,083.49, 354,628,924,874.81 and 141,232,181,148.84
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Solution
The fourth proportional to 256,971,319,083.49, 354,628,924,874.81 and 141,232,181,148.84 is: 194,905,084,104.99
Step by Step Solution
- Step 1: Write the proportion equation
256,971,319,083.49 : 354,628,924,874.81 = 141,232,181,148.84 : x - Step 2: Convert to fraction form
256,971,319,083.49/354,628,924,874.81 = 141,232,181,148.84/x - Step 3: Cross multiply
256,971,319,083.49x = 354,628,924,874.81 × 141,232,181,148.84 - Step 4: Simplify right side
256,971,319,083.49x = 50,085,016,558,537,539,584,000 - Step 5: Solve for x
x = 50,085,016,558,537,539,584,000/256,971,319,083.49 - Step 6: Final answer
x = 194,905,084,104.99
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.