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Finding the Fourth Proportional to 392,642,715.88, 541,871,190.18 and 216,430,313.80

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Solution

The fourth proportional to 392,642,715.88, 541,871,190.18 and 216,430,313.80 is: 298,687,195.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,642,715.88 : 541,871,190.18 = 216,430,313.80 : x
  2. Step 2: Convert to fraction form
    392,642,715.88/541,871,190.18 = 216,430,313.80/x
  3. Step 3: Cross multiply
    392,642,715.88x = 541,871,190.18 × 216,430,313.80
  4. Step 4: Simplify right side
    392,642,715.88x = 117,277,351,729,836,880
  5. Step 5: Solve for x
    x = 117,277,351,729,836,880/392,642,715.88
  6. Step 6: Final answer
    x = 298,687,195.73

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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.