Finding the Fourth Proportional to 1,361,427,277.76, 2,042,734,910.74 and 476,747,600.20
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Solution
The fourth proportional to 1,361,427,277.76, 2,042,734,910.74 and 476,747,600.20 is: 715,329,406.46
Step by Step Solution
- Step 1: Write the proportion equation
1,361,427,277.76 : 2,042,734,910.74 = 476,747,600.20 : x - Step 2: Convert to fraction form
1,361,427,277.76/2,042,734,910.74 = 476,747,600.20/x - Step 3: Cross multiply
1,361,427,277.76x = 2,042,734,910.74 × 476,747,600.20 - Step 4: Simplify right side
1,361,427,277.76x = 973,868,966,540,056,192 - Step 5: Solve for x
x = 973,868,966,540,056,192/1,361,427,277.76 - Step 6: Final answer
x = 715,329,406.46
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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.