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Finding the Fourth Proportional to 392,315.28, 588,560.40 and 142,997.28

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Solution

The fourth proportional to 392,315.28, 588,560.40 and 142,997.28 is: 214,527.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,315.28 : 588,560.40 = 142,997.28 : x
  2. Step 2: Convert to fraction form
    392,315.28/588,560.40 = 142,997.28/x
  3. Step 3: Cross multiply
    392,315.28x = 588,560.40 × 142,997.28
  4. Step 4: Simplify right side
    392,315.28x = 84,162,536,315.71
  5. Step 5: Solve for x
    x = 84,162,536,315.71/392,315.28
  6. Step 6: Final answer
    x = 214,527.81

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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.