Finding the Fourth Proportional to 977,197,017.87, 1,348,541,466.80 and 531,160,105.82
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Solution
The fourth proportional to 977,197,017.87, 1,348,541,466.80 and 531,160,105.82 is: 733,006,154.44
Step by Step Solution
- Step 1: Write the proportion equation
977,197,017.87 : 1,348,541,466.80 = 531,160,105.82 : x - Step 2: Convert to fraction form
977,197,017.87/1,348,541,466.80 = 531,160,105.82/x - Step 3: Cross multiply
977,197,017.87x = 1,348,541,466.80 × 531,160,105.82 - Step 4: Simplify right side
977,197,017.87x = 716,291,428,198,747,520 - Step 5: Solve for x
x = 716,291,428,198,747,520/977,197,017.87 - Step 6: Final answer
x = 733,006,154.44
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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.