Finding the Fourth Proportional to 731,460,393,617.60, 1,009,187,613,198.10 and 422,699,267,581.54
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Solution
The fourth proportional to 731,460,393,617.60, 1,009,187,613,198.10 and 422,699,267,581.54 is: 583,193,387,739.61
Step by Step Solution
- Step 1: Write the proportion equation
731,460,393,617.60 : 1,009,187,613,198.10 = 422,699,267,581.54 : x - Step 2: Convert to fraction form
731,460,393,617.60/1,009,187,613,198.10 = 422,699,267,581.54/x - Step 3: Cross multiply
731,460,393,617.60x = 1,009,187,613,198.10 × 422,699,267,581.54 - Step 4: Simplify right side
731,460,393,617.60x = 426,582,864,951,199,334,924,288 - Step 5: Solve for x
x = 426,582,864,951,199,334,924,288/731,460,393,617.60 - Step 6: Final answer
x = 583,193,387,739.61
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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.