Finding the Fourth Proportional to 824,843,769.16, 1,237,149,162.50 and 264,532,789.51
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Solution
The fourth proportional to 824,843,769.16, 1,237,149,162.50 and 264,532,789.51 is: 396,761,824.76
Step by Step Solution
- Step 1: Write the proportion equation
824,843,769.16 : 1,237,149,162.50 = 264,532,789.51 : x - Step 2: Convert to fraction form
824,843,769.16/1,237,149,162.50 = 264,532,789.51/x - Step 3: Cross multiply
824,843,769.16x = 1,237,149,162.50 × 264,532,789.51 - Step 4: Simplify right side
824,843,769.16x = 327,266,518,993,151,168 - Step 5: Solve for x
x = 327,266,518,993,151,168/824,843,769.16 - Step 6: Final answer
x = 396,761,824.76
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.