Finding the Fourth Proportional to 310,682,216,382.42, 425,627,558,305.55 and 299,066,307,290.96
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Solution
The fourth proportional to 310,682,216,382.42, 425,627,558,305.55 and 299,066,307,290.96 is: 409,714,027,490.48
Step by Step Solution
- Step 1: Write the proportion equation
310,682,216,382.42 : 425,627,558,305.55 = 299,066,307,290.96 : x - Step 2: Convert to fraction form
310,682,216,382.42/425,627,558,305.55 = 299,066,307,290.96/x - Step 3: Cross multiply
310,682,216,382.42x = 425,627,558,305.55 × 299,066,307,290.96 - Step 4: Simplify right side
310,682,216,382.42x = 127,290,862,143,708,615,147,520 - Step 5: Solve for x
x = 127,290,862,143,708,615,147,520/310,682,216,382.42 - Step 6: Final answer
x = 409,714,027,490.48
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.