Finding the Fourth Proportional to 451,364,532,602.95, 622,864,255,767.25 and 245,599,580,013.51
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Solution
The fourth proportional to 451,364,532,602.95, 622,864,255,767.25 and 245,599,580,013.51 is: 338,917,191,254.88
Step by Step Solution
- Step 1: Write the proportion equation
451,364,532,602.95 : 622,864,255,767.25 = 245,599,580,013.51 : x - Step 2: Convert to fraction form
451,364,532,602.95/622,864,255,767.25 = 245,599,580,013.51/x - Step 3: Cross multiply
451,364,532,602.95x = 622,864,255,767.25 × 245,599,580,013.51 - Step 4: Simplify right side
451,364,532,602.95x = 152,975,199,621,864,067,432,448 - Step 5: Solve for x
x = 152,975,199,621,864,067,432,448/451,364,532,602.95 - Step 6: Final answer
x = 338,917,191,254.88
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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.