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Finding the Fourth Proportional to 392,023.92, 587,569.32 and 225,462

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Solution

The fourth proportional to 392,023.92, 587,569.32 and 225,462 is: 337,924.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,023.92 : 587,569.32 = 225,462 : x
  2. Step 2: Convert to fraction form
    392,023.92/587,569.32 = 225,462/x
  3. Step 3: Cross multiply
    392,023.92x = 587,569.32 × 225,462
  4. Step 4: Simplify right side
    392,023.92x = 132,474,554,025.84
  5. Step 5: Solve for x
    x = 132,474,554,025.84/392,023.92
  6. Step 6: Final answer
    x = 337,924.67

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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.