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Finding the Fourth Proportional to 305,823.94, 422,037.04 and 171,687.94

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Solution

The fourth proportional to 305,823.94, 422,037.04 and 171,687.94 is: 236,929.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,823.94 : 422,037.04 = 171,687.94 : x
  2. Step 2: Convert to fraction form
    305,823.94/422,037.04 = 171,687.94/x
  3. Step 3: Cross multiply
    305,823.94x = 422,037.04 × 171,687.94
  4. Step 4: Simplify right side
    305,823.94x = 72,458,670,001.30
  5. Step 5: Solve for x
    x = 72,458,670,001.30/305,823.94
  6. Step 6: Final answer
    x = 236,929.36

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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.