Finding the Fourth Proportional to 421,415,758,240.12, 581,554,176,773.08 and 228,727,970,891.10
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Solution
The fourth proportional to 421,415,758,240.12, 581,554,176,773.08 and 228,727,970,891.10 is: 315,644,833,434.91
Step by Step Solution
- Step 1: Write the proportion equation
421,415,758,240.12 : 581,554,176,773.08 = 228,727,970,891.10 : x - Step 2: Convert to fraction form
421,415,758,240.12/581,554,176,773.08 = 228,727,970,891.10/x - Step 3: Cross multiply
421,415,758,240.12x = 581,554,176,773.08 × 228,727,970,891.10 - Step 4: Simplify right side
421,415,758,240.12x = 133,017,706,816,550,656,278,528 - Step 5: Solve for x
x = 133,017,706,816,550,656,278,528/421,415,758,240.12 - Step 6: Final answer
x = 315,644,833,434.91
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.