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Finding the Fourth Proportional to 378,750.60, 568,324.62 and 142,256.52

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Solution

The fourth proportional to 378,750.60, 568,324.62 and 142,256.52 is: 213,459.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,750.60 : 568,324.62 = 142,256.52 : x
  2. Step 2: Convert to fraction form
    378,750.60/568,324.62 = 142,256.52/x
  3. Step 3: Cross multiply
    378,750.60x = 568,324.62 × 142,256.52
  4. Step 4: Simplify right side
    378,750.60x = 80,847,882,671.52
  5. Step 5: Solve for x
    x = 80,847,882,671.52/378,750.60
  6. Step 6: Final answer
    x = 213,459.42

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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.