Finding the Fourth Proportional to 910,285,701, 1,256,251,153.14 and 513,875,852.68
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Solution
The fourth proportional to 910,285,701, 1,256,251,153.14 and 513,875,852.68 is: 709,180,789.93
Step by Step Solution
- Step 1: Write the proportion equation
910,285,701 : 1,256,251,153.14 = 513,875,852.68 : x - Step 2: Convert to fraction form
910,285,701/1,256,251,153.14 = 513,875,852.68/x - Step 3: Cross multiply
910,285,701x = 1,256,251,153.14 × 513,875,852.68 - Step 4: Simplify right side
910,285,701x = 645,557,132,500,050,816 - Step 5: Solve for x
x = 645,557,132,500,050,816/910,285,701 - Step 6: Final answer
x = 709,180,789.93
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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.