Finding the Fourth Proportional to 824,101.84, 1,137,206.41 and 461,442.56
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Solution
The fourth proportional to 824,101.84, 1,137,206.41 and 461,442.56 is: 636,760.43
Step by Step Solution
- Step 1: Write the proportion equation
824,101.84 : 1,137,206.41 = 461,442.56 : x - Step 2: Convert to fraction form
824,101.84/1,137,206.41 = 461,442.56/x - Step 3: Cross multiply
824,101.84x = 1,137,206.41 × 461,442.56 - Step 4: Simplify right side
824,101.84x = 524,755,438,768.22 - Step 5: Solve for x
x = 524,755,438,768.22/824,101.84 - Step 6: Final answer
x = 636,760.43
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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.