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Finding the Fourth Proportional to 205,406.83, 308,363.97 and 97,439.43

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Solution

The fourth proportional to 205,406.83, 308,363.97 and 97,439.43 is: 146,279.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,406.83 : 308,363.97 = 97,439.43 : x
  2. Step 2: Convert to fraction form
    205,406.83/308,363.97 = 97,439.43/x
  3. Step 3: Cross multiply
    205,406.83x = 308,363.97 × 97,439.43
  4. Step 4: Simplify right side
    205,406.83x = 30,046,809,469.34
  5. Step 5: Solve for x
    x = 30,046,809,469.34/205,406.83
  6. Step 6: Final answer
    x = 146,279.51

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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.