Finding the Fourth Proportional to 1,180,126,420.97, 1,769,316,947.10 and 713,684,146.84
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Solution
The fourth proportional to 1,180,126,420.97, 1,769,316,947.10 and 713,684,146.84 is: 1,069,998,462.41
Step by Step Solution
- Step 1: Write the proportion equation
1,180,126,420.97 : 1,769,316,947.10 = 713,684,146.84 : x - Step 2: Convert to fraction form
1,180,126,420.97/1,769,316,947.10 = 713,684,146.84/x - Step 3: Cross multiply
1,180,126,420.97x = 1,769,316,947.10 × 713,684,146.84 - Step 4: Simplify right side
1,180,126,420.97x = 1,262,733,455,876,193,536 - Step 5: Solve for x
x = 1,262,733,455,876,193,536/1,180,126,420.97 - Step 6: Final answer
x = 1,069,998,462.41
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.