Finding the Fourth Proportional to 767,125,234,138.75, 1,058,639,424,879.20 and 437,544,966,464.12
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Solution
The fourth proportional to 767,125,234,138.75, 1,058,639,424,879.20 and 437,544,966,464.12 is: 603,815,819,168.56
Step by Step Solution
- Step 1: Write the proportion equation
767,125,234,138.75 : 1,058,639,424,879.20 = 437,544,966,464.12 : x - Step 2: Convert to fraction form
767,125,234,138.75/1,058,639,424,879.20 = 437,544,966,464.12/x - Step 3: Cross multiply
767,125,234,138.75x = 1,058,639,424,879.20 × 437,544,966,464.12 - Step 4: Simplify right side
767,125,234,138.75x = 463,202,351,656,364,813,582,336 - Step 5: Solve for x
x = 463,202,351,656,364,813,582,336/767,125,234,138.75 - Step 6: Final answer
x = 603,815,819,168.56
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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.