Finding the Fourth Proportional to 713,121,023.36, 983,744,831.04 and 465,747,178.88
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Solution
The fourth proportional to 713,121,023.36, 983,744,831.04 and 465,747,178.88 is: 642,494,562.33
Step by Step Solution
- Step 1: Write the proportion equation
713,121,023.36 : 983,744,831.04 = 465,747,178.88 : x - Step 2: Convert to fraction form
713,121,023.36/983,744,831.04 = 465,747,178.88/x - Step 3: Cross multiply
713,121,023.36x = 983,744,831.04 × 465,747,178.88 - Step 4: Simplify right side
713,121,023.36x = 458,176,379,794,662,208 - Step 5: Solve for x
x = 458,176,379,794,662,208/713,121,023.36 - Step 6: Final answer
x = 642,494,562.33
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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.