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Finding the Fourth Proportional to 284,120.76, 425,712.81 and 254,822.25

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Solution

The fourth proportional to 284,120.76, 425,712.81 and 254,822.25 is: 381,813.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,120.76 : 425,712.81 = 254,822.25 : x
  2. Step 2: Convert to fraction form
    284,120.76/425,712.81 = 254,822.25/x
  3. Step 3: Cross multiply
    284,120.76x = 425,712.81 × 254,822.25
  4. Step 4: Simplify right side
    284,120.76x = 108,481,098,650.03
  5. Step 5: Solve for x
    x = 108,481,098,650.03/284,120.76
  6. Step 6: Final answer
    x = 381,813.34

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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.