Finding the Fourth Proportional to 460,201,943.98, 690,399,864.91 and 149,285,282.80
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Solution
The fourth proportional to 460,201,943.98, 690,399,864.91 and 149,285,282.80 is: 223,959,373.55
Step by Step Solution
- Step 1: Write the proportion equation
460,201,943.98 : 690,399,864.91 = 149,285,282.80 : x - Step 2: Convert to fraction form
460,201,943.98/690,399,864.91 = 149,285,282.80/x - Step 3: Cross multiply
460,201,943.98x = 690,399,864.91 × 149,285,282.80 - Step 4: Simplify right side
460,201,943.98x = 103,066,539,080,287,728 - Step 5: Solve for x
x = 103,066,539,080,287,728/460,201,943.98 - Step 6: Final answer
x = 223,959,373.55
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.