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Finding the Fourth Proportional to 411,910.76, 617,859.66 and 300,299.24

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Solution

The fourth proportional to 411,910.76, 617,859.66 and 300,299.24 is: 450,444.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,910.76 : 617,859.66 = 300,299.24 : x
  2. Step 2: Convert to fraction form
    411,910.76/617,859.66 = 300,299.24/x
  3. Step 3: Cross multiply
    411,910.76x = 617,859.66 × 300,299.24
  4. Step 4: Simplify right side
    411,910.76x = 185,542,786,324.66
  5. Step 5: Solve for x
    x = 185,542,786,324.66/411,910.76
  6. Step 6: Final answer
    x = 450,444.14

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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.