Finding the Fourth Proportional to 812,966,503.82, 1,121,893,773.63 and 460,542,494.07
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Solution
The fourth proportional to 812,966,503.82, 1,121,893,773.63 and 460,542,494.07 is: 635,548,640.89
Step by Step Solution
- Step 1: Write the proportion equation
812,966,503.82 : 1,121,893,773.63 = 460,542,494.07 : x - Step 2: Convert to fraction form
812,966,503.82/1,121,893,773.63 = 460,542,494.07/x - Step 3: Cross multiply
812,966,503.82x = 1,121,893,773.63 × 460,542,494.07 - Step 4: Simplify right side
812,966,503.82x = 516,679,756,589,164,224 - Step 5: Solve for x
x = 516,679,756,589,164,224/812,966,503.82 - Step 6: Final answer
x = 635,548,640.89
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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.