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Finding the Fourth Proportional to 284,305.88, 426,456.64 and 115,786.56

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Solution

The fourth proportional to 284,305.88, 426,456.64 and 115,786.56 is: 173,678.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,305.88 : 426,456.64 = 115,786.56 : x
  2. Step 2: Convert to fraction form
    284,305.88/426,456.64 = 115,786.56/x
  3. Step 3: Cross multiply
    284,305.88x = 426,456.64 × 115,786.56
  4. Step 4: Simplify right side
    284,305.88x = 49,377,947,334.76
  5. Step 5: Solve for x
    x = 49,377,947,334.76/284,305.88
  6. Step 6: Final answer
    x = 173,678.95

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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.