Finding the Fourth Proportional to 1,027,854,235.72, 1,418,434,893.93 and 557,951,446.31
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Solution
The fourth proportional to 1,027,854,235.72, 1,418,434,893.93 and 557,951,446.31 is: 769,970,850.99
Step by Step Solution
- Step 1: Write the proportion equation
1,027,854,235.72 : 1,418,434,893.93 = 557,951,446.31 : x - Step 2: Convert to fraction form
1,027,854,235.72/1,418,434,893.93 = 557,951,446.31/x - Step 3: Cross multiply
1,027,854,235.72x = 1,418,434,893.93 × 557,951,446.31 - Step 4: Simplify right side
1,027,854,235.72x = 791,417,800,563,100,288 - Step 5: Solve for x
x = 791,417,800,563,100,288/1,027,854,235.72 - Step 6: Final answer
x = 769,970,850.99
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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.