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Finding the Fourth Proportional to 205,385.40, 307,640.70 and 166,019.40

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Solution

The fourth proportional to 205,385.40, 307,640.70 and 166,019.40 is: 248,675.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,385.40 : 307,640.70 = 166,019.40 : x
  2. Step 2: Convert to fraction form
    205,385.40/307,640.70 = 166,019.40/x
  3. Step 3: Cross multiply
    205,385.40x = 307,640.70 × 166,019.40
  4. Step 4: Simplify right side
    205,385.40x = 51,074,324,429.58
  5. Step 5: Solve for x
    x = 51,074,324,429.58/205,385.40
  6. Step 6: Final answer
    x = 248,675.54

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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.