Finding the Fourth Proportional to 1,120,160,431.36, 1,545,780,873.72 and 618,358,437.28
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Solution
The fourth proportional to 1,120,160,431.36, 1,545,780,873.72 and 618,358,437.28 is: 853,312,274.47
Step by Step Solution
- Step 1: Write the proportion equation
1,120,160,431.36 : 1,545,780,873.72 = 618,358,437.28 : x - Step 2: Convert to fraction form
1,120,160,431.36/1,545,780,873.72 = 618,358,437.28/x - Step 3: Cross multiply
1,120,160,431.36x = 1,545,780,873.72 × 618,358,437.28 - Step 4: Simplify right side
1,120,160,431.36x = 955,846,645,450,812,160 - Step 5: Solve for x
x = 955,846,645,450,812,160/1,120,160,431.36 - Step 6: Final answer
x = 853,312,274.47
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1.5x scale
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.