Finding the Fourth Proportional to 1,165,937,998.71, 1,749,213,610.07 and 419,029,209.75
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Solution
The fourth proportional to 1,165,937,998.71, 1,749,213,610.07 and 419,029,209.75 is: 628,654,008.64
Step by Step Solution
- Step 1: Write the proportion equation
1,165,937,998.71 : 1,749,213,610.07 = 419,029,209.75 : x - Step 2: Convert to fraction form
1,165,937,998.71/1,749,213,610.07 = 419,029,209.75/x - Step 3: Cross multiply
1,165,937,998.71x = 1,749,213,610.07 × 419,029,209.75 - Step 4: Simplify right side
1,165,937,998.71x = 732,971,596,709,481,600 - Step 5: Solve for x
x = 732,971,596,709,481,600/1,165,937,998.71 - Step 6: Final answer
x = 628,654,008.64
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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.