Finding the Fourth Proportional to 311,086,032,904.92, 429,367,787,911.80 and 189,124,852,167.99
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Solution
The fourth proportional to 311,086,032,904.92, 429,367,787,911.80 and 189,124,852,167.99 is: 261,034,282,562.39
Step by Step Solution
- Step 1: Write the proportion equation
311,086,032,904.92 : 429,367,787,911.80 = 189,124,852,167.99 : x - Step 2: Convert to fraction form
311,086,032,904.92/429,367,787,911.80 = 189,124,852,167.99/x - Step 3: Cross multiply
311,086,032,904.92x = 429,367,787,911.80 × 189,124,852,167.99 - Step 4: Simplify right side
311,086,032,904.92x = 81,204,119,414,516,058,423,296 - Step 5: Solve for x
x = 81,204,119,414,516,058,423,296/311,086,032,904.92 - Step 6: Final answer
x = 261,034,282,562.39
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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.