Finding the Fourth Proportional to 1,966,842,092.20, 2,950,194,903.90 and 492,994,798.60
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Solution
The fourth proportional to 1,966,842,092.20, 2,950,194,903.90 and 492,994,798.60 is: 739,475,094.75
Step by Step Solution
- Step 1: Write the proportion equation
1,966,842,092.20 : 2,950,194,903.90 = 492,994,798.60 : x - Step 2: Convert to fraction form
1,966,842,092.20/2,950,194,903.90 = 492,994,798.60/x - Step 3: Cross multiply
1,966,842,092.20x = 2,950,194,903.90 × 492,994,798.60 - Step 4: Simplify right side
1,966,842,092.20x = 1,454,430,742,478,926,848 - Step 5: Solve for x
x = 1,454,430,742,478,926,848/1,966,842,092.20 - Step 6: Final answer
x = 739,475,094.75
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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.