Finding the Fourth Proportional to 1,748,368,656.21, 2,412,994,840.80 and 1,113,086,217.13
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Solution
The fourth proportional to 1,748,368,656.21, 2,412,994,840.80 and 1,113,086,217.13 is: 1,536,215,654.39
Step by Step Solution
- Step 1: Write the proportion equation
1,748,368,656.21 : 2,412,994,840.80 = 1,113,086,217.13 : x - Step 2: Convert to fraction form
1,748,368,656.21/2,412,994,840.80 = 1,113,086,217.13/x - Step 3: Cross multiply
1,748,368,656.21x = 2,412,994,840.80 × 1,113,086,217.13 - Step 4: Simplify right side
1,748,368,656.21x = 2,685,871,299,300,279,296 - Step 5: Solve for x
x = 2,685,871,299,300,279,296/1,748,368,656.21 - Step 6: Final answer
x = 1,536,215,654.39
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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.