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Finding the Fourth Proportional to 392,838.12, 542,321.58 and 305,429.40

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Solution

The fourth proportional to 392,838.12, 542,321.58 and 305,429.40 is: 421,651.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,838.12 : 542,321.58 = 305,429.40 : x
  2. Step 2: Convert to fraction form
    392,838.12/542,321.58 = 305,429.40/x
  3. Step 3: Cross multiply
    392,838.12x = 542,321.58 × 305,429.40
  4. Step 4: Simplify right side
    392,838.12x = 165,640,954,786.45
  5. Step 5: Solve for x
    x = 165,640,954,786.45/392,838.12
  6. Step 6: Final answer
    x = 421,651.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.