Finding the Fourth Proportional to 1,095,772,043.88, 1,644,223,165.16 and 513,565,437.60
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Solution
The fourth proportional to 1,095,772,043.88, 1,644,223,165.16 and 513,565,437.60 is: 770,613,006.64
Step by Step Solution
- Step 1: Write the proportion equation
1,095,772,043.88 : 1,644,223,165.16 = 513,565,437.60 : x - Step 2: Convert to fraction form
1,095,772,043.88/1,644,223,165.16 = 513,565,437.60/x - Step 3: Cross multiply
1,095,772,043.88x = 1,644,223,165.16 × 513,565,437.60 - Step 4: Simplify right side
1,095,772,043.88x = 844,416,189,327,452,544 - Step 5: Solve for x
x = 844,416,189,327,452,544/1,095,772,043.88 - Step 6: Final answer
x = 770,613,006.64
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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.