Finding the Fourth Proportional to 1,164,905,829.20, 1,747,358,743.80 and 552,685,797.20
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Solution
The fourth proportional to 1,164,905,829.20, 1,747,358,743.80 and 552,685,797.20 is: 829,028,695.80
Step by Step Solution
- Step 1: Write the proportion equation
1,164,905,829.20 : 1,747,358,743.80 = 552,685,797.20 : x - Step 2: Convert to fraction form
1,164,905,829.20/1,747,358,743.80 = 552,685,797.20/x - Step 3: Cross multiply
1,164,905,829.20x = 1,747,358,743.80 × 552,685,797.20 - Step 4: Simplify right side
1,164,905,829.20x = 965,740,360,311,493,632 - Step 5: Solve for x
x = 965,740,360,311,493,632/1,164,905,829.20 - Step 6: Final answer
x = 829,028,695.80
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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.