Finding the Fourth Proportional to 822,578,874.63, 1,135,158,846.99 and 470,162,432.19
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Solution
The fourth proportional to 822,578,874.63, 1,135,158,846.99 and 470,162,432.19 is: 648,824,156.42
Step by Step Solution
- Step 1: Write the proportion equation
822,578,874.63 : 1,135,158,846.99 = 470,162,432.19 : x - Step 2: Convert to fraction form
822,578,874.63/1,135,158,846.99 = 470,162,432.19/x - Step 3: Cross multiply
822,578,874.63x = 1,135,158,846.99 × 470,162,432.19 - Step 4: Simplify right side
822,578,874.63x = 533,709,044,422,814,464 - Step 5: Solve for x
x = 533,709,044,422,814,464/822,578,874.63 - Step 6: Final answer
x = 648,824,156.42
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.