Finding the Fourth Proportional to 513,062,586.78, 708,021,073.18 and 286,998,640.19
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Solution
The fourth proportional to 513,062,586.78, 708,021,073.18 and 286,998,640.19 is: 396,055,160.65
Step by Step Solution
- Step 1: Write the proportion equation
513,062,586.78 : 708,021,073.18 = 286,998,640.19 : x - Step 2: Convert to fraction form
513,062,586.78/708,021,073.18 = 286,998,640.19/x - Step 3: Cross multiply
513,062,586.78x = 708,021,073.18 × 286,998,640.19 - Step 4: Simplify right side
513,062,586.78x = 203,201,085,228,524,448 - Step 5: Solve for x
x = 203,201,085,228,524,448/513,062,586.78 - Step 6: Final answer
x = 396,055,160.65
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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.