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Finding the Fourth Proportional to 392,756.05, 588,584.94 and 212,452.30

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Solution

The fourth proportional to 392,756.05, 588,584.94 and 212,452.30 is: 318,381.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,756.05 : 588,584.94 = 212,452.30 : x
  2. Step 2: Convert to fraction form
    392,756.05/588,584.94 = 212,452.30/x
  3. Step 3: Cross multiply
    392,756.05x = 588,584.94 × 212,452.30
  4. Step 4: Simplify right side
    392,756.05x = 125,046,224,248.36
  5. Step 5: Solve for x
    x = 125,046,224,248.36/392,756.05
  6. Step 6: Final answer
    x = 318,381.41

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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.