Finding the Fourth Proportional to 1,645,589,285.78, 2,468,377,272.64 and 596,081,871.98
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Solution
The fourth proportional to 1,645,589,285.78, 2,468,377,272.64 and 596,081,871.98 is: 894,120,396.95
Step by Step Solution
- Step 1: Write the proportion equation
1,645,589,285.78 : 2,468,377,272.64 = 596,081,871.98 : x - Step 2: Convert to fraction form
1,645,589,285.78/2,468,377,272.64 = 596,081,871.98/x - Step 3: Cross multiply
1,645,589,285.78x = 2,468,377,272.64 × 596,081,871.98 - Step 4: Simplify right side
1,645,589,285.78x = 1,471,354,945,417,286,400 - Step 5: Solve for x
x = 1,471,354,945,417,286,400/1,645,589,285.78 - Step 6: Final answer
x = 894,120,396.95
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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.