Finding the Fourth Proportional to 729,014,733.24, 1,006,042,998 and 394,487,258.80
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Solution
The fourth proportional to 729,014,733.24, 1,006,042,998 and 394,487,258.80 is: 544,393,859.85
Step by Step Solution
- Step 1: Write the proportion equation
729,014,733.24 : 1,006,042,998 = 394,487,258.80 : x - Step 2: Convert to fraction form
729,014,733.24/1,006,042,998 = 394,487,258.80/x - Step 3: Cross multiply
729,014,733.24x = 1,006,042,998 × 394,487,258.80 - Step 4: Simplify right side
729,014,733.24x = 396,871,144,515,953,920 - Step 5: Solve for x
x = 396,871,144,515,953,920/729,014,733.24 - Step 6: Final answer
x = 544,393,859.85
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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.