Finding the Fourth Proportional to 1,177,279,245,378.10, 1,624,947,639,830.40 and 766,770,674,474.74
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Solution
The fourth proportional to 1,177,279,245,378.10, 1,624,947,639,830.40 and 766,770,674,474.74 is: 1,058,340,408,760.65
Step by Step Solution
- Step 1: Write the proportion equation
1,177,279,245,378.10 : 1,624,947,639,830.40 = 766,770,674,474.74 : x - Step 2: Convert to fraction form
1,177,279,245,378.10/1,624,947,639,830.40 = 766,770,674,474.74/x - Step 3: Cross multiply
1,177,279,245,378.10x = 1,624,947,639,830.40 × 766,770,674,474.74 - Step 4: Simplify right side
1,177,279,245,378.10x = 1,245,962,197,778,892,542,967,808 - Step 5: Solve for x
x = 1,245,962,197,778,892,542,967,808/1,177,279,245,378.10 - Step 6: Final answer
x = 1,058,340,408,760.65
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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.