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Finding the Fourth Proportional to 392,608.46, 588,915.76 and 215,018.59

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Solution

The fourth proportional to 392,608.46, 588,915.76 and 215,018.59 is: 322,529.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,608.46 : 588,915.76 = 215,018.59 : x
  2. Step 2: Convert to fraction form
    392,608.46/588,915.76 = 215,018.59/x
  3. Step 3: Cross multiply
    392,608.46x = 588,915.76 × 215,018.59
  4. Step 4: Simplify right side
    392,608.46x = 126,627,836,343.98
  5. Step 5: Solve for x
    x = 126,627,836,343.98/392,608.46
  6. Step 6: Final answer
    x = 322,529.57

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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.