Finding the Fourth Proportional to 421,415,758,251.21, 581,554,176,788.28 and 228,727,970,902.17
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Solution
The fourth proportional to 421,415,758,251.21, 581,554,176,788.28 and 228,727,970,902.17 is: 315,644,833,450.13
Step by Step Solution
- Step 1: Write the proportion equation
421,415,758,251.21 : 581,554,176,788.28 = 228,727,970,902.17 : x - Step 2: Convert to fraction form
421,415,758,251.21/581,554,176,788.28 = 228,727,970,902.17/x - Step 3: Cross multiply
421,415,758,251.21x = 581,554,176,788.28 × 228,727,970,902.17 - Step 4: Simplify right side
421,415,758,251.21x = 133,017,706,826,465,152,073,728 - Step 5: Solve for x
x = 133,017,706,826,465,152,073,728/421,415,758,251.21 - Step 6: Final answer
x = 315,644,833,450.13
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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.