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Finding the Fourth Proportional to 392,807.88, 589,470.12 and 215,439.39

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Solution

The fourth proportional to 392,807.88, 589,470.12 and 215,439.39 is: 323,300.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,807.88 : 589,470.12 = 215,439.39 : x
  2. Step 2: Convert to fraction form
    392,807.88/589,470.12 = 215,439.39/x
  3. Step 3: Cross multiply
    392,807.88x = 589,470.12 × 215,439.39
  4. Step 4: Simplify right side
    392,807.88x = 126,995,083,076.03
  5. Step 5: Solve for x
    x = 126,995,083,076.03/392,807.88
  6. Step 6: Final answer
    x = 323,300.75

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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.