Finding the Fourth Proportional to 1,471,996,078.20, 2,208,013,349.60 and 489,422,617.55
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Solution
The fourth proportional to 1,471,996,078.20, 2,208,013,349.60 and 489,422,617.55 is: 734,140,320.85
Step by Step Solution
- Step 1: Write the proportion equation
1,471,996,078.20 : 2,208,013,349.60 = 489,422,617.55 : x - Step 2: Convert to fraction form
1,471,996,078.20/2,208,013,349.60 = 489,422,617.55/x - Step 3: Cross multiply
1,471,996,078.20x = 2,208,013,349.60 × 489,422,617.55 - Step 4: Simplify right side
1,471,996,078.20x = 1,080,651,673,133,088,000 - Step 5: Solve for x
x = 1,080,651,673,133,088,000/1,471,996,078.20 - Step 6: Final answer
x = 734,140,320.85
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1.5x scale
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.