Finding the Fourth Proportional to 361,097,338,946.20, 498,314,648,305.05 and 198,519,750,904.62
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Solution
The fourth proportional to 361,097,338,946.20, 498,314,648,305.05 and 198,519,750,904.62 is: 273,957,432,481.61
Step by Step Solution
- Step 1: Write the proportion equation
361,097,338,946.20 : 498,314,648,305.05 = 198,519,750,904.62 : x - Step 2: Convert to fraction form
361,097,338,946.20/498,314,648,305.05 = 198,519,750,904.62/x - Step 3: Cross multiply
361,097,338,946.20x = 498,314,648,305.05 × 198,519,750,904.62 - Step 4: Simplify right side
361,097,338,946.20x = 98,925,299,853,641,839,017,984 - Step 5: Solve for x
x = 98,925,299,853,641,839,017,984/361,097,338,946.20 - Step 6: Final answer
x = 273,957,432,481.61
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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.