Finding the Fourth Proportional to 328,498,141,790.97, 453,183,030,373.64 and 198,214,326,638.19
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Solution
The fourth proportional to 328,498,141,790.97, 453,183,030,373.64 and 198,214,326,638.19 is: 273,448,637,242.29
Step by Step Solution
- Step 1: Write the proportion equation
328,498,141,790.97 : 453,183,030,373.64 = 198,214,326,638.19 : x - Step 2: Convert to fraction form
328,498,141,790.97/453,183,030,373.64 = 198,214,326,638.19/x - Step 3: Cross multiply
328,498,141,790.97x = 453,183,030,373.64 × 198,214,326,638.19 - Step 4: Simplify right side
328,498,141,790.97x = 89,827,369,209,365,465,661,440 - Step 5: Solve for x
x = 89,827,369,209,365,465,661,440/328,498,141,790.97 - Step 6: Final answer
x = 273,448,637,242.29
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.