Finding the Fourth Proportional to 832,686,195.26, 1,149,106,957.11 and 461,408,226.50
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Solution
The fourth proportional to 832,686,195.26, 1,149,106,957.11 and 461,408,226.50 is: 636,743,356.81
Step by Step Solution
- Step 1: Write the proportion equation
832,686,195.26 : 1,149,106,957.11 = 461,408,226.50 : x - Step 2: Convert to fraction form
832,686,195.26/1,149,106,957.11 = 461,408,226.50/x - Step 3: Cross multiply
832,686,195.26x = 1,149,106,957.11 × 461,408,226.50 - Step 4: Simplify right side
832,686,195.26x = 530,207,403,133,191,104 - Step 5: Solve for x
x = 530,207,403,133,191,104/832,686,195.26 - Step 6: Final answer
x = 636,743,356.81
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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.