Finding the Fourth Proportional to 1,540,860,361,305.40, 2,126,392,267,269.30 and 855,748,087,263.55
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Solution
The fourth proportional to 1,540,860,361,305.40, 2,126,392,267,269.30 and 855,748,087,263.55 is: 1,180,935,119,874.27
Step by Step Solution
- Step 1: Write the proportion equation
1,540,860,361,305.40 : 2,126,392,267,269.30 = 855,748,087,263.55 : x - Step 2: Convert to fraction form
1,540,860,361,305.40/2,126,392,267,269.30 = 855,748,087,263.55/x - Step 3: Cross multiply
1,540,860,361,305.40x = 2,126,392,267,269.30 × 855,748,087,263.55 - Step 4: Simplify right side
1,540,860,361,305.40x = 1,819,656,115,487,706,953,285,632 - Step 5: Solve for x
x = 1,819,656,115,487,706,953,285,632/1,540,860,361,305.40 - Step 6: Final answer
x = 1,180,935,119,874.27
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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.