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Finding the Fourth Proportional to 392,762.75, 588,594.90 and 212,458.91

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Solution

The fourth proportional to 392,762.75, 588,594.90 and 212,458.91 is: 318,391.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,762.75 : 588,594.90 = 212,458.91 : x
  2. Step 2: Convert to fraction form
    392,762.75/588,594.90 = 212,458.91/x
  3. Step 3: Cross multiply
    392,762.75x = 588,594.90 × 212,458.91
  4. Step 4: Simplify right side
    392,762.75x = 125,052,230,885.56
  5. Step 5: Solve for x
    x = 125,052,230,885.56/392,762.75
  6. Step 6: Final answer
    x = 318,391.27

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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.