Finding the Fourth Proportional to 421,415,758,238.84, 581,554,176,771.34 and 228,727,970,889.84
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Solution
The fourth proportional to 421,415,758,238.84, 581,554,176,771.34 and 228,727,970,889.84 is: 315,644,833,433.19
Step by Step Solution
- Step 1: Write the proportion equation
421,415,758,238.84 : 581,554,176,771.34 = 228,727,970,889.84 : x - Step 2: Convert to fraction form
421,415,758,238.84/581,554,176,771.34 = 228,727,970,889.84/x - Step 3: Cross multiply
421,415,758,238.84x = 581,554,176,771.34 × 228,727,970,889.84 - Step 4: Simplify right side
421,415,758,238.84x = 133,017,706,815,419,905,474,560 - Step 5: Solve for x
x = 133,017,706,815,419,905,474,560/421,415,758,238.84 - Step 6: Final answer
x = 315,644,833,433.19
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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.