Finding the Fourth Proportional to 786,396,424.14, 1,085,253,130.17 and 429,183,759.78
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Solution
The fourth proportional to 786,396,424.14, 1,085,253,130.17 and 429,183,759.78 is: 592,287,813.65
Step by Step Solution
- Step 1: Write the proportion equation
786,396,424.14 : 1,085,253,130.17 = 429,183,759.78 : x - Step 2: Convert to fraction form
786,396,424.14/1,085,253,130.17 = 429,183,759.78/x - Step 3: Cross multiply
786,396,424.14x = 1,085,253,130.17 × 429,183,759.78 - Step 4: Simplify right side
786,396,424.14x = 465,773,018,721,014,592 - Step 5: Solve for x
x = 465,773,018,721,014,592/786,396,424.14 - Step 6: Final answer
x = 592,287,813.65
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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.