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Finding the Fourth Proportional to 392,137.88, 587,733.83 and 202,494.86

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Solution

The fourth proportional to 392,137.88, 587,733.83 and 202,494.86 is: 303,498.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,137.88 : 587,733.83 = 202,494.86 : x
  2. Step 2: Convert to fraction form
    392,137.88/587,733.83 = 202,494.86/x
  3. Step 3: Cross multiply
    392,137.88x = 587,733.83 × 202,494.86
  4. Step 4: Simplify right side
    392,137.88x = 119,013,078,635.33
  5. Step 5: Solve for x
    x = 119,013,078,635.33/392,137.88
  6. Step 6: Final answer
    x = 303,498.04

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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.