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Finding the Fourth Proportional to 308,761.20, 462,485.70 and 256,273.20

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Solution

The fourth proportional to 308,761.20, 462,485.70 and 256,273.20 is: 383,865.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,761.20 : 462,485.70 = 256,273.20 : x
  2. Step 2: Convert to fraction form
    308,761.20/462,485.70 = 256,273.20/x
  3. Step 3: Cross multiply
    308,761.20x = 462,485.70 × 256,273.20
  4. Step 4: Simplify right side
    308,761.20x = 118,522,690,293.24
  5. Step 5: Solve for x
    x = 118,522,690,293.24/308,761.20
  6. Step 6: Final answer
    x = 383,865.23

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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.