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Finding the Fourth Proportional to 262,857.30, 394,285.95 and 151,919.70

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Solution

The fourth proportional to 262,857.30, 394,285.95 and 151,919.70 is: 227,879.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,857.30 : 394,285.95 = 151,919.70 : x
  2. Step 2: Convert to fraction form
    262,857.30/394,285.95 = 151,919.70/x
  3. Step 3: Cross multiply
    262,857.30x = 394,285.95 × 151,919.70
  4. Step 4: Simplify right side
    262,857.30x = 59,899,803,238.22
  5. Step 5: Solve for x
    x = 59,899,803,238.22/262,857.30
  6. Step 6: Final answer
    x = 227,879.55

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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.