Finding the Fourth Proportional to 1,421,411,358.24, 1,961,510,830.56 and 786,355,305.12
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Solution
The fourth proportional to 1,421,411,358.24, 1,961,510,830.56 and 786,355,305.12 is: 1,085,149,938.28
Step by Step Solution
- Step 1: Write the proportion equation
1,421,411,358.24 : 1,961,510,830.56 = 786,355,305.12 : x - Step 2: Convert to fraction form
1,421,411,358.24/1,961,510,830.56 = 786,355,305.12/x - Step 3: Cross multiply
1,421,411,358.24x = 1,961,510,830.56 × 786,355,305.12 - Step 4: Simplify right side
1,421,411,358.24x = 1,542,444,447,661,193,472 - Step 5: Solve for x
x = 1,542,444,447,661,193,472/1,421,411,358.24 - Step 6: Final answer
x = 1,085,149,938.28
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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.