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Finding the Fourth Proportional to 283,819.76, 425,334.24 and 143,414.48

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Solution

The fourth proportional to 283,819.76, 425,334.24 and 143,414.48 is: 214,921.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,819.76 : 425,334.24 = 143,414.48 : x
  2. Step 2: Convert to fraction form
    283,819.76/425,334.24 = 143,414.48/x
  3. Step 3: Cross multiply
    283,819.76x = 425,334.24 × 143,414.48
  4. Step 4: Simplify right side
    283,819.76x = 60,999,088,855.80
  5. Step 5: Solve for x
    x = 60,999,088,855.80/283,819.76
  6. Step 6: Final answer
    x = 214,921.92

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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.