Finding the Fourth Proportional to 1,197,266,163, 1,651,987,678.18 and 668,548,798.12
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Solution
The fourth proportional to 1,197,266,163, 1,651,987,678.18 and 668,548,798.12 is: 922,463,534.75
Step by Step Solution
- Step 1: Write the proportion equation
1,197,266,163 : 1,651,987,678.18 = 668,548,798.12 : x - Step 2: Convert to fraction form
1,197,266,163/1,651,987,678.18 = 668,548,798.12/x - Step 3: Cross multiply
1,197,266,163x = 1,651,987,678.18 × 668,548,798.12 - Step 4: Simplify right side
1,197,266,163x = 1,104,434,376,756,288,384 - Step 5: Solve for x
x = 1,104,434,376,756,288,384/1,197,266,163 - Step 6: Final answer
x = 922,463,534.75
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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.