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Finding the Fourth Proportional to 284,101.20, 426,612.60 and 205,765.20

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Solution

The fourth proportional to 284,101.20, 426,612.60 and 205,765.20 is: 308,981.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,101.20 : 426,612.60 = 205,765.20 : x
  2. Step 2: Convert to fraction form
    284,101.20/426,612.60 = 205,765.20/x
  3. Step 3: Cross multiply
    284,101.20x = 426,612.60 × 205,765.20
  4. Step 4: Simplify right side
    284,101.20x = 87,782,026,961.52
  5. Step 5: Solve for x
    x = 87,782,026,961.52/284,101.20
  6. Step 6: Final answer
    x = 308,981.54

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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.