Finding the Fourth Proportional to 1,511,712,052.70, 2,267,227,781.85 and 542,363,668.70
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Solution
The fourth proportional to 1,511,712,052.70, 2,267,227,781.85 and 542,363,668.70 is: 813,423,413.11
Step by Step Solution
- Step 1: Write the proportion equation
1,511,712,052.70 : 2,267,227,781.85 = 542,363,668.70 : x - Step 2: Convert to fraction form
1,511,712,052.70/2,267,227,781.85 = 542,363,668.70/x - Step 3: Cross multiply
1,511,712,052.70x = 2,267,227,781.85 × 542,363,668.70 - Step 4: Simplify right side
1,511,712,052.70x = 1,229,661,977,542,729,216 - Step 5: Solve for x
x = 1,229,661,977,542,729,216/1,511,712,052.70 - Step 6: Final answer
x = 813,423,413.11
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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.