Finding the Fourth Proportional to 828,211,649,928.86, 1,242,441,692,087.20 and 290,894,905,372.47
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Solution
The fourth proportional to 828,211,649,928.86, 1,242,441,692,087.20 and 290,894,905,372.47 is: 436,385,987,182.82
Step by Step Solution
- Step 1: Write the proportion equation
828,211,649,928.86 : 1,242,441,692,087.20 = 290,894,905,372.47 : x - Step 2: Convert to fraction form
828,211,649,928.86/1,242,441,692,087.20 = 290,894,905,372.47/x - Step 3: Cross multiply
828,211,649,928.86x = 1,242,441,692,087.20 × 290,894,905,372.47 - Step 4: Simplify right side
828,211,649,928.86x = 361,419,958,450,517,522,251,776 - Step 5: Solve for x
x = 361,419,958,450,517,522,251,776/828,211,649,928.86 - Step 6: Final answer
x = 436,385,987,182.82
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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.