Finding the Fourth Proportional to 1,648,222,289.63, 2,274,546,237.70 and 905,714,182.07
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Solution
The fourth proportional to 1,648,222,289.63, 2,274,546,237.70 and 905,714,182.07 is: 1,249,885,284.42
Step by Step Solution
- Step 1: Write the proportion equation
1,648,222,289.63 : 2,274,546,237.70 = 905,714,182.07 : x - Step 2: Convert to fraction form
1,648,222,289.63/2,274,546,237.70 = 905,714,182.07/x - Step 3: Cross multiply
1,648,222,289.63x = 2,274,546,237.70 × 905,714,182.07 - Step 4: Simplify right side
1,648,222,289.63x = 2,060,088,785,255,374,080 - Step 5: Solve for x
x = 2,060,088,785,255,374,080/1,648,222,289.63 - Step 6: Final answer
x = 1,249,885,284.42
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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.