Finding the Fourth Proportional to 421,415,758,240.86, 581,554,176,774.13 and 228,727,970,891.84
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Solution
The fourth proportional to 421,415,758,240.86, 581,554,176,774.13 and 228,727,970,891.84 is: 315,644,833,435.95
Step by Step Solution
- Step 1: Write the proportion equation
421,415,758,240.86 : 581,554,176,774.13 = 228,727,970,891.84 : x - Step 2: Convert to fraction form
421,415,758,240.86/581,554,176,774.13 = 228,727,970,891.84/x - Step 3: Cross multiply
421,415,758,240.86x = 581,554,176,774.13 × 228,727,970,891.84 - Step 4: Simplify right side
421,415,758,240.86x = 133,017,706,817,221,174,493,184 - Step 5: Solve for x
x = 133,017,706,817,221,174,493,184/421,415,758,240.86 - Step 6: Final answer
x = 315,644,833,435.95
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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.