Finding the Fourth Proportional to 817,101,117,493.15, 1,225,656,257,811.60 and 272,548,120,822.80
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Solution
The fourth proportional to 817,101,117,493.15, 1,225,656,257,811.60 and 272,548,120,822.80 is: 408,823,709,440.17
Step by Step Solution
- Step 1: Write the proportion equation
817,101,117,493.15 : 1,225,656,257,811.60 = 272,548,120,822.80 : x - Step 2: Convert to fraction form
817,101,117,493.15/1,225,656,257,811.60 = 272,548,120,822.80/x - Step 3: Cross multiply
817,101,117,493.15x = 1,225,656,257,811.60 × 272,548,120,822.80 - Step 4: Simplify right side
817,101,117,493.15x = 334,050,309,841,256,890,499,072 - Step 5: Solve for x
x = 334,050,309,841,256,890,499,072/817,101,117,493.15 - Step 6: Final answer
x = 408,823,709,440.17
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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.