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Finding the Fourth Proportional to 392,911.20, 589,366.80 and 314,179.20

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Solution

The fourth proportional to 392,911.20, 589,366.80 and 314,179.20 is: 471,268.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,911.20 : 589,366.80 = 314,179.20 : x
  2. Step 2: Convert to fraction form
    392,911.20/589,366.80 = 314,179.20/x
  3. Step 3: Cross multiply
    392,911.20x = 589,366.80 × 314,179.20
  4. Step 4: Simplify right side
    392,911.20x = 185,166,789,730.56
  5. Step 5: Solve for x
    x = 185,166,789,730.56/392,911.20
  6. Step 6: Final answer
    x = 471,268.80

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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.