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Finding the Fourth Proportional to 393,496.80, 589,023.36 and 213,134.24

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Solution

The fourth proportional to 393,496.80, 589,023.36 and 213,134.24 is: 319,039.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,496.80 : 589,023.36 = 213,134.24 : x
  2. Step 2: Convert to fraction form
    393,496.80/589,023.36 = 213,134.24/x
  3. Step 3: Cross multiply
    393,496.80x = 589,023.36 × 213,134.24
  4. Step 4: Simplify right side
    393,496.80x = 125,541,046,175.85
  5. Step 5: Solve for x
    x = 125,541,046,175.85/393,496.80
  6. Step 6: Final answer
    x = 319,039.56

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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.