Finding the Fourth Proportional to 2,780,124,746.24, 4,168,165,216.80 and 1,305,504,698.24
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Solution
The fourth proportional to 2,780,124,746.24, 4,168,165,216.80 and 1,305,504,698.24 is: 1,957,307,592.38
Step by Step Solution
- Step 1: Write the proportion equation
2,780,124,746.24 : 4,168,165,216.80 = 1,305,504,698.24 : x - Step 2: Convert to fraction form
2,780,124,746.24/4,168,165,216.80 = 1,305,504,698.24/x - Step 3: Cross multiply
2,780,124,746.24x = 4,168,165,216.80 × 1,305,504,698.24 - Step 4: Simplify right side
2,780,124,746.24x = 5,441,559,273,572,947,968 - Step 5: Solve for x
x = 5,441,559,273,572,947,968/2,780,124,746.24 - Step 6: Final answer
x = 1,957,307,592.38
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1.5x scale
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.