Finding the Fourth Proportional to 421,415,758,467.08, 581,554,177,086.80 and 228,727,971,118.71
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Solution
The fourth proportional to 421,415,758,467.08, 581,554,177,086.80 and 228,727,971,118.71 is: 315,644,833,749.30
Step by Step Solution
- Step 1: Write the proportion equation
421,415,758,467.08 : 581,554,177,086.80 = 228,727,971,118.71 : x - Step 2: Convert to fraction form
421,415,758,467.08/581,554,177,086.80 = 228,727,971,118.71/x - Step 3: Cross multiply
421,415,758,467.08x = 581,554,177,086.80 × 228,727,971,118.71 - Step 4: Simplify right side
421,415,758,467.08x = 133,017,707,020,674,765,160,448 - Step 5: Solve for x
x = 133,017,707,020,674,765,160,448/421,415,758,467.08 - Step 6: Final answer
x = 315,644,833,749.30
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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.