Finding the Fourth Proportional to 812,631,096,661.44, 1,218,141,488,124.50 and 381,596,587,232.52
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Solution
The fourth proportional to 812,631,096,661.44, 1,218,141,488,124.50 and 381,596,587,232.52 is: 572,016,794,021.75
Step by Step Solution
- Step 1: Write the proportion equation
812,631,096,661.44 : 1,218,141,488,124.50 = 381,596,587,232.52 : x - Step 2: Convert to fraction form
812,631,096,661.44/1,218,141,488,124.50 = 381,596,587,232.52/x - Step 3: Cross multiply
812,631,096,661.44x = 1,218,141,488,124.50 × 381,596,587,232.52 - Step 4: Simplify right side
812,631,096,661.44x = 464,838,634,634,652,504,031,232 - Step 5: Solve for x
x = 464,838,634,634,652,504,031,232/812,631,096,661.44 - Step 6: Final answer
x = 572,016,794,021.75
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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.