Finding the Fourth Proportional to 1,616,564,197.36, 2,230,859,036.72 and 892,352,563.12
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Solution
The fourth proportional to 1,616,564,197.36, 2,230,859,036.72 and 892,352,563.12 is: 1,231,446,782.40
Step by Step Solution
- Step 1: Write the proportion equation
1,616,564,197.36 : 2,230,859,036.72 = 892,352,563.12 : x - Step 2: Convert to fraction form
1,616,564,197.36/2,230,859,036.72 = 892,352,563.12/x - Step 3: Cross multiply
1,616,564,197.36x = 2,230,859,036.72 × 892,352,563.12 - Step 4: Simplify right side
1,616,564,197.36x = 1,990,712,779,376,506,112 - Step 5: Solve for x
x = 1,990,712,779,376,506,112/1,616,564,197.36 - Step 6: Final answer
x = 1,231,446,782.40
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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.