Finding the Fourth Proportional to 432,966,906.68, 649,450,347.47 and 199,728,610.95
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Solution
The fourth proportional to 432,966,906.68, 649,450,347.47 and 199,728,610.95 is: 299,592,910.64
Step by Step Solution
- Step 1: Write the proportion equation
432,966,906.68 : 649,450,347.47 = 199,728,610.95 : x - Step 2: Convert to fraction form
432,966,906.68/649,450,347.47 = 199,728,610.95/x - Step 3: Cross multiply
432,966,906.68x = 649,450,347.47 × 199,728,610.95 - Step 4: Simplify right side
432,966,906.68x = 129,713,815,781,677,248 - Step 5: Solve for x
x = 129,713,815,781,677,248/432,966,906.68 - Step 6: Final answer
x = 299,592,910.64
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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.