Finding the Fourth Proportional to 816,587,842,915.95, 1,126,885,490,597.20 and 445,791,260,850.12
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Solution
The fourth proportional to 816,587,842,915.95, 1,126,885,490,597.20 and 445,791,260,850.12 is: 615,188,810,420.17
Step by Step Solution
- Step 1: Write the proportion equation
816,587,842,915.95 : 1,126,885,490,597.20 = 445,791,260,850.12 : x - Step 2: Convert to fraction form
816,587,842,915.95/1,126,885,490,597.20 = 445,791,260,850.12/x - Step 3: Cross multiply
816,587,842,915.95x = 1,126,885,490,597.20 × 445,791,260,850.12 - Step 4: Simplify right side
816,587,842,915.95x = 502,355,703,687,031,784,734,720 - Step 5: Solve for x
x = 502,355,703,687,031,784,734,720/816,587,842,915.95 - Step 6: Final answer
x = 615,188,810,420.17
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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.