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Finding the Fourth Proportional to 491,224.08, 677,834.28 and 276,438

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Solution

The fourth proportional to 491,224.08, 677,834.28 and 276,438 is: 381,453.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,224.08 : 677,834.28 = 276,438 : x
  2. Step 2: Convert to fraction form
    491,224.08/677,834.28 = 276,438/x
  3. Step 3: Cross multiply
    491,224.08x = 677,834.28 × 276,438
  4. Step 4: Simplify right side
    491,224.08x = 187,379,152,694.64
  5. Step 5: Solve for x
    x = 187,379,152,694.64/491,224.08
  6. Step 6: Final answer
    x = 381,453.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.