Finding the Fourth Proportional to 1,541,488,391.97, 2,127,255,972.83 and 836,640,293.19
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Solution
The fourth proportional to 1,541,488,391.97, 2,127,255,972.83 and 836,640,293.19 is: 1,154,564,685.71
Step by Step Solution
- Step 1: Write the proportion equation
1,541,488,391.97 : 2,127,255,972.83 = 836,640,293.19 : x - Step 2: Convert to fraction form
1,541,488,391.97/2,127,255,972.83 = 836,640,293.19/x - Step 3: Cross multiply
1,541,488,391.97x = 2,127,255,972.83 × 836,640,293.19 - Step 4: Simplify right side
1,541,488,391.97x = 1,779,748,060,794,486,784 - Step 5: Solve for x
x = 1,779,748,060,794,486,784/1,541,488,391.97 - Step 6: Final answer
x = 1,154,564,685.71
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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.