Finding the Fourth Proportional to 405,748,711,700.80, 608,623,067,551.20 and 368,525,733,755.20
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Solution
The fourth proportional to 405,748,711,700.80, 608,623,067,551.20 and 368,525,733,755.20 is: 552,788,600,632.80
Step by Step Solution
- Step 1: Write the proportion equation
405,748,711,700.80 : 608,623,067,551.20 = 368,525,733,755.20 : x - Step 2: Convert to fraction form
405,748,711,700.80/608,623,067,551.20 = 368,525,733,755.20/x - Step 3: Cross multiply
405,748,711,700.80x = 608,623,067,551.20 × 368,525,733,755.20 - Step 4: Simplify right side
405,748,711,700.80x = 224,293,262,549,646,617,608,192 - Step 5: Solve for x
x = 224,293,262,549,646,617,608,192/405,748,711,700.80 - Step 6: Final answer
x = 552,788,600,632.80
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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.