Finding the Fourth Proportional to 1,608,738,798.24, 2,413,115,904.29 and 488,272,189.52
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Solution
The fourth proportional to 1,608,738,798.24, 2,413,115,904.29 and 488,272,189.52 is: 732,410,623.42
Step by Step Solution
- Step 1: Write the proportion equation
1,608,738,798.24 : 2,413,115,904.29 = 488,272,189.52 : x - Step 2: Convert to fraction form
1,608,738,798.24/2,413,115,904.29 = 488,272,189.52/x - Step 3: Cross multiply
1,608,738,798.24x = 2,413,115,904.29 × 488,272,189.52 - Step 4: Simplify right side
1,608,738,798.24x = 1,178,257,386,138,705,920 - Step 5: Solve for x
x = 1,178,257,386,138,705,920/1,608,738,798.24 - Step 6: Final answer
x = 732,410,623.42
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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.