Finding the Fourth Proportional to 1,415,073,619.80, 2,122,610,429.70 and 432,498,259.80
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Solution
The fourth proportional to 1,415,073,619.80, 2,122,610,429.70 and 432,498,259.80 is: 648,747,389.70
Step by Step Solution
- Step 1: Write the proportion equation
1,415,073,619.80 : 2,122,610,429.70 = 432,498,259.80 : x - Step 2: Convert to fraction form
1,415,073,619.80/2,122,610,429.70 = 432,498,259.80/x - Step 3: Cross multiply
1,415,073,619.80x = 2,122,610,429.70 × 432,498,259.80 - Step 4: Simplify right side
1,415,073,619.80x = 918,025,317,078,580,224 - Step 5: Solve for x
x = 918,025,317,078,580,224/1,415,073,619.80 - Step 6: Final answer
x = 648,747,389.70
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.