Finding the Fourth Proportional to 2,087,707,772.31, 3,132,782,791.79 and 778,514,284.95
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Solution
The fourth proportional to 2,087,707,772.31, 3,132,782,791.79 and 778,514,284.95 is: 1,168,226,792.75
Step by Step Solution
- Step 1: Write the proportion equation
2,087,707,772.31 : 3,132,782,791.79 = 778,514,284.95 : x - Step 2: Convert to fraction form
2,087,707,772.31/3,132,782,791.79 = 778,514,284.95/x - Step 3: Cross multiply
2,087,707,772.31x = 3,132,782,791.79 × 778,514,284.95 - Step 4: Simplify right side
2,087,707,772.31x = 2,438,916,155,054,056,448 - Step 5: Solve for x
x = 2,438,916,155,054,056,448/2,087,707,772.31 - Step 6: Final answer
x = 1,168,226,792.75
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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.