Finding the Fourth Proportional to 1,471,996,076.70, 2,208,013,347.34 and 489,422,616.04
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Solution
The fourth proportional to 1,471,996,076.70, 2,208,013,347.34 and 489,422,616.04 is: 734,140,318.59
Step by Step Solution
- Step 1: Write the proportion equation
1,471,996,076.70 : 2,208,013,347.34 = 489,422,616.04 : x - Step 2: Convert to fraction form
1,471,996,076.70/2,208,013,347.34 = 489,422,616.04/x - Step 3: Cross multiply
1,471,996,076.70x = 2,208,013,347.34 × 489,422,616.04 - Step 4: Simplify right side
1,471,996,076.70x = 1,080,651,668,702,264,832 - Step 5: Solve for x
x = 1,080,651,668,702,264,832/1,471,996,076.70 - Step 6: Final answer
x = 734,140,318.59
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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.