Finding the Fourth Proportional to 1,102,491,199.74, 1,521,472,302.35 and 632,678,460.06
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Solution
The fourth proportional to 1,102,491,199.74, 1,521,472,302.35 and 632,678,460.06 is: 873,116,042.57
Step by Step Solution
- Step 1: Write the proportion equation
1,102,491,199.74 : 1,521,472,302.35 = 632,678,460.06 : x - Step 2: Convert to fraction form
1,102,491,199.74/1,521,472,302.35 = 632,678,460.06/x - Step 3: Cross multiply
1,102,491,199.74x = 1,521,472,302.35 × 632,678,460.06 - Step 4: Simplify right side
1,102,491,199.74x = 962,602,753,283,230,080 - Step 5: Solve for x
x = 962,602,753,283,230,080/1,102,491,199.74 - Step 6: Final answer
x = 873,116,042.57
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1.5x scale
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.