Finding the Fourth Proportional to 1,283,148,140.24, 1,770,697,068.36 and 696,424,679.12
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Solution
The fourth proportional to 1,283,148,140.24, 1,770,697,068.36 and 696,424,679.12 is: 961,040,349.89
Step by Step Solution
- Step 1: Write the proportion equation
1,283,148,140.24 : 1,770,697,068.36 = 696,424,679.12 : x - Step 2: Convert to fraction form
1,283,148,140.24/1,770,697,068.36 = 696,424,679.12/x - Step 3: Cross multiply
1,283,148,140.24x = 1,770,697,068.36 × 696,424,679.12 - Step 4: Simplify right side
1,283,148,140.24x = 1,233,157,137,651,337,728 - Step 5: Solve for x
x = 1,233,157,137,651,337,728/1,283,148,140.24 - Step 6: Final answer
x = 961,040,349.89
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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.