Finding the Fourth Proportional to 842,796,565.97, 1,261,676,102.91 and 509,795,811.95
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Solution
The fourth proportional to 842,796,565.97, 1,261,676,102.91 and 509,795,811.95 is: 763,170,163.80
Step by Step Solution
- Step 1: Write the proportion equation
842,796,565.97 : 1,261,676,102.91 = 509,795,811.95 : x - Step 2: Convert to fraction form
842,796,565.97/1,261,676,102.91 = 509,795,811.95/x - Step 3: Cross multiply
842,796,565.97x = 1,261,676,102.91 × 509,795,811.95 - Step 4: Simplify right side
842,796,565.97x = 643,197,193,294,606,848 - Step 5: Solve for x
x = 643,197,193,294,606,848/842,796,565.97 - Step 6: Final answer
x = 763,170,163.80
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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.