Finding the Fourth Proportional to 812,966,507.83, 1,121,893,779.17 and 460,542,498.09
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Solution
The fourth proportional to 812,966,507.83, 1,121,893,779.17 and 460,542,498.09 is: 635,548,646.43
Step by Step Solution
- Step 1: Write the proportion equation
812,966,507.83 : 1,121,893,779.17 = 460,542,498.09 : x - Step 2: Convert to fraction form
812,966,507.83/1,121,893,779.17 = 460,542,498.09/x - Step 3: Cross multiply
812,966,507.83x = 1,121,893,779.17 × 460,542,498.09 - Step 4: Simplify right side
812,966,507.83x = 516,679,763,642,670,400 - Step 5: Solve for x
x = 516,679,763,642,670,400/812,966,507.83 - Step 6: Final answer
x = 635,548,646.43
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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.