Finding the Fourth Proportional to 822,933,658.99, 1,135,651,422.63 and 446,590,165.06
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Solution
The fourth proportional to 822,933,658.99, 1,135,651,422.63 and 446,590,165.06 is: 616,296,041.29
Step by Step Solution
- Step 1: Write the proportion equation
822,933,658.99 : 1,135,651,422.63 = 446,590,165.06 : x - Step 2: Convert to fraction form
822,933,658.99/1,135,651,422.63 = 446,590,165.06/x - Step 3: Cross multiply
822,933,658.99x = 1,135,651,422.63 × 446,590,165.06 - Step 4: Simplify right side
822,933,658.99x = 507,170,756,282,955,584 - Step 5: Solve for x
x = 507,170,756,282,955,584/822,933,658.99 - Step 6: Final answer
x = 616,296,041.29
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Double scale
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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.