Finding the Fourth Proportional to 509,765,497.20, 703,221,718.68 and 321,826,713.84
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Solution
The fourth proportional to 509,765,497.20, 703,221,718.68 and 321,826,713.84 is: 443,960,087.66
Step by Step Solution
- Step 1: Write the proportion equation
509,765,497.20 : 703,221,718.68 = 321,826,713.84 : x - Step 2: Convert to fraction form
509,765,497.20/703,221,718.68 = 321,826,713.84/x - Step 3: Cross multiply
509,765,497.20x = 703,221,718.68 × 321,826,713.84 - Step 4: Simplify right side
509,765,497.20x = 226,315,534,823,701,312 - Step 5: Solve for x
x = 226,315,534,823,701,312/509,765,497.20 - Step 6: Final answer
x = 443,960,087.66
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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.