Finding the Fourth Proportional to 1,411,038,506.88, 2,116,420,911.36 and 428,473,553.76
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Solution
The fourth proportional to 1,411,038,506.88, 2,116,420,911.36 and 428,473,553.76 is: 642,668,775.32
Step by Step Solution
- Step 1: Write the proportion equation
1,411,038,506.88 : 2,116,420,911.36 = 428,473,553.76 : x - Step 2: Convert to fraction form
1,411,038,506.88/2,116,420,911.36 = 428,473,553.76/x - Step 3: Cross multiply
1,411,038,506.88x = 2,116,420,911.36 × 428,473,553.76 - Step 4: Simplify right side
1,411,038,506.88x = 906,830,389,142,397,056 - Step 5: Solve for x
x = 906,830,389,142,397,056/1,411,038,506.88 - Step 6: Final answer
x = 642,668,775.32
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.