Finding the Fourth Proportional to 421,415,758,486.10, 581,554,177,112.95 and 228,727,971,137.76
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Solution
The fourth proportional to 421,415,758,486.10, 581,554,177,112.95 and 228,727,971,137.76 is: 315,644,833,775.53
Step by Step Solution
- Step 1: Write the proportion equation
421,415,758,486.10 : 581,554,177,112.95 = 228,727,971,137.76 : x - Step 2: Convert to fraction form
421,415,758,486.10/581,554,177,112.95 = 228,727,971,137.76/x - Step 3: Cross multiply
421,415,758,486.10x = 581,554,177,112.95 × 228,727,971,137.76 - Step 4: Simplify right side
421,415,758,486.10x = 133,017,707,037,734,593,363,968 - Step 5: Solve for x
x = 133,017,707,037,734,593,363,968/421,415,758,486.10 - Step 6: Final answer
x = 315,644,833,775.53
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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.