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Finding the Fourth Proportional to 392,439.40, 587,346.90 and 274,341.40

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Solution

The fourth proportional to 392,439.40, 587,346.90 and 274,341.40 is: 410,594.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,439.40 : 587,346.90 = 274,341.40 : x
  2. Step 2: Convert to fraction form
    392,439.40/587,346.90 = 274,341.40/x
  3. Step 3: Cross multiply
    392,439.40x = 587,346.90 × 274,341.40
  4. Step 4: Simplify right side
    392,439.40x = 161,133,570,831.66
  5. Step 5: Solve for x
    x = 161,133,570,831.66/392,439.40
  6. Step 6: Final answer
    x = 410,594.78

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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.