Finding the Fourth Proportional to 513,631,163.76, 708,802,067.28 and 312,615,377.04
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Solution
The fourth proportional to 513,631,163.76, 708,802,067.28 and 312,615,377.04 is: 431,403,779.88
Step by Step Solution
- Step 1: Write the proportion equation
513,631,163.76 : 708,802,067.28 = 312,615,377.04 : x - Step 2: Convert to fraction form
513,631,163.76/708,802,067.28 = 312,615,377.04/x - Step 3: Cross multiply
513,631,163.76x = 708,802,067.28 × 312,615,377.04 - Step 4: Simplify right side
513,631,163.76x = 221,582,425,509,468,640 - Step 5: Solve for x
x = 221,582,425,509,468,640/513,631,163.76 - Step 6: Final answer
x = 431,403,779.88
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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.