Finding the Fourth Proportional to 1,391,664,649.54, 2,087,497,565.61 and 409,091,257.84
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Solution
The fourth proportional to 1,391,664,649.54, 2,087,497,565.61 and 409,091,257.84 is: 613,637,060.58
Step by Step Solution
- Step 1: Write the proportion equation
1,391,664,649.54 : 2,087,497,565.61 = 409,091,257.84 : x - Step 2: Convert to fraction form
1,391,664,649.54/2,087,497,565.61 = 409,091,257.84/x - Step 3: Cross multiply
1,391,664,649.54x = 2,087,497,565.61 × 409,091,257.84 - Step 4: Simplify right side
1,391,664,649.54x = 853,977,004,853,332,736 - Step 5: Solve for x
x = 853,977,004,853,332,736/1,391,664,649.54 - Step 6: Final answer
x = 613,637,060.58
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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.