Finding the Fourth Proportional to 686,284.14, 946,845.12 and 414,248.68
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Solution
The fourth proportional to 686,284.14, 946,845.12 and 414,248.68 is: 571,526.16
Step by Step Solution
- Step 1: Write the proportion equation
686,284.14 : 946,845.12 = 414,248.68 : x - Step 2: Convert to fraction form
686,284.14/946,845.12 = 414,248.68/x - Step 3: Cross multiply
686,284.14x = 946,845.12 × 414,248.68 - Step 4: Simplify right side
686,284.14x = 392,229,341,124.44 - Step 5: Solve for x
x = 392,229,341,124.44/686,284.14 - Step 6: Final answer
x = 571,526.16
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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.