Finding the Fourth Proportional to 874,011,892.26, 1,206,137,706.84 and 497,668,785.87
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Solution
The fourth proportional to 874,011,892.26, 1,206,137,706.84 and 497,668,785.87 is: 686,783,662.18
Step by Step Solution
- Step 1: Write the proportion equation
874,011,892.26 : 1,206,137,706.84 = 497,668,785.87 : x - Step 2: Convert to fraction form
874,011,892.26/1,206,137,706.84 = 497,668,785.87/x - Step 3: Cross multiply
874,011,892.26x = 1,206,137,706.84 × 497,668,785.87 - Step 4: Simplify right side
874,011,892.26x = 600,257,088,155,088,768 - Step 5: Solve for x
x = 600,257,088,155,088,768/874,011,892.26 - Step 6: Final answer
x = 686,783,662.18
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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.