Finding the Fourth Proportional to 829,564,321.74, 1,244,058,323.48 and 461,660,708.22
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Solution
The fourth proportional to 829,564,321.74, 1,244,058,323.48 and 461,660,708.22 is: 692,330,698.94
Step by Step Solution
- Step 1: Write the proportion equation
829,564,321.74 : 1,244,058,323.48 = 461,660,708.22 : x - Step 2: Convert to fraction form
829,564,321.74/1,244,058,323.48 = 461,660,708.22/x - Step 3: Cross multiply
829,564,321.74x = 1,244,058,323.48 × 461,660,708.22 - Step 4: Simplify right side
829,564,321.74x = 574,332,846,684,762,688 - Step 5: Solve for x
x = 574,332,846,684,762,688/829,564,321.74 - Step 6: Final answer
x = 692,330,698.94
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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.