Finding the Fourth Proportional to 1,540,860,361,304.20, 2,126,392,267,267.80 and 855,748,087,262.45
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Solution
The fourth proportional to 1,540,860,361,304.20, 2,126,392,267,267.80 and 855,748,087,262.45 is: 1,180,935,119,872.84
Step by Step Solution
- Step 1: Write the proportion equation
1,540,860,361,304.20 : 2,126,392,267,267.80 = 855,748,087,262.45 : x - Step 2: Convert to fraction form
1,540,860,361,304.20/2,126,392,267,267.80 = 855,748,087,262.45/x - Step 3: Cross multiply
1,540,860,361,304.20x = 2,126,392,267,267.80 × 855,748,087,262.45 - Step 4: Simplify right side
1,540,860,361,304.20x = 1,819,656,115,484,084,148,371,456 - Step 5: Solve for x
x = 1,819,656,115,484,084,148,371,456/1,540,860,361,304.20 - Step 6: Final answer
x = 1,180,935,119,872.84
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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.