Finding the Fourth Proportional to 395,306,020,445.80, 545,484,189,682.78 and 221,698,207,881.84
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Solution
The fourth proportional to 395,306,020,445.80, 545,484,189,682.78 and 221,698,207,881.84 is: 305,922,148,982.63
Step by Step Solution
- Step 1: Write the proportion equation
395,306,020,445.80 : 545,484,189,682.78 = 221,698,207,881.84 : x - Step 2: Convert to fraction form
395,306,020,445.80/545,484,189,682.78 = 221,698,207,881.84/x - Step 3: Cross multiply
395,306,020,445.80x = 545,484,189,682.78 × 221,698,207,881.84 - Step 4: Simplify right side
395,306,020,445.80x = 120,932,867,280,550,009,765,888 - Step 5: Solve for x
x = 120,932,867,280,550,009,765,888/395,306,020,445.80 - Step 6: Final answer
x = 305,922,148,982.63
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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.