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Finding the Fourth Proportional to 392,273.28, 588,497.34 and 142,955.28

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Solution

The fourth proportional to 392,273.28, 588,497.34 and 142,955.28 is: 214,464.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,273.28 : 588,497.34 = 142,955.28 : x
  2. Step 2: Convert to fraction form
    392,273.28/588,497.34 = 142,955.28/x
  3. Step 3: Cross multiply
    392,273.28x = 588,497.34 × 142,955.28
  4. Step 4: Simplify right side
    392,273.28x = 84,128,802,018.96
  5. Step 5: Solve for x
    x = 84,128,802,018.96/392,273.28
  6. Step 6: Final answer
    x = 214,464.78

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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.