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Finding the Fourth Proportional to 305,828.70, 422,043.60 and 171,692.70

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Solution

The fourth proportional to 305,828.70, 422,043.60 and 171,692.70 is: 236,935.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,828.70 : 422,043.60 = 171,692.70 : x
  2. Step 2: Convert to fraction form
    305,828.70/422,043.60 = 171,692.70/x
  3. Step 3: Cross multiply
    305,828.70x = 422,043.60 × 171,692.70
  4. Step 4: Simplify right side
    305,828.70x = 72,461,805,201.72
  5. Step 5: Solve for x
    x = 72,461,805,201.72/305,828.70
  6. Step 6: Final answer
    x = 236,935.92

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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.