Finding the Fourth Proportional to 1,027,686,653.13, 1,418,208,630.91 and 557,788,070.96
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Solution
The fourth proportional to 1,027,686,653.13, 1,418,208,630.91 and 557,788,070.96 is: 769,748,107.61
Step by Step Solution
- Step 1: Write the proportion equation
1,027,686,653.13 : 1,418,208,630.91 = 557,788,070.96 : x - Step 2: Convert to fraction form
1,027,686,653.13/1,418,208,630.91 = 557,788,070.96/x - Step 3: Cross multiply
1,027,686,653.13x = 1,418,208,630.91 × 557,788,070.96 - Step 4: Simplify right side
1,027,686,653.13x = 791,059,856,455,506,048 - Step 5: Solve for x
x = 791,059,856,455,506,048/1,027,686,653.13 - Step 6: Final answer
x = 769,748,107.61
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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.