Finding the Fourth Proportional to 1,540,860,361,306.20, 2,126,392,267,270.60 and 855,748,087,264.45
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Solution
The fourth proportional to 1,540,860,361,306.20, 2,126,392,267,270.60 and 855,748,087,264.45 is: 1,180,935,119,875.62
Step by Step Solution
- Step 1: Write the proportion equation
1,540,860,361,306.20 : 2,126,392,267,270.60 = 855,748,087,264.45 : x - Step 2: Convert to fraction form
1,540,860,361,306.20/2,126,392,267,270.60 = 855,748,087,264.45/x - Step 3: Cross multiply
1,540,860,361,306.20x = 2,126,392,267,270.60 × 855,748,087,264.45 - Step 4: Simplify right side
1,540,860,361,306.20x = 1,819,656,115,490,733,026,181,120 - Step 5: Solve for x
x = 1,819,656,115,490,733,026,181,120/1,540,860,361,306.20 - Step 6: Final answer
x = 1,180,935,119,875.62
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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.