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Finding the Fourth Proportional to 258,101.70, 356,309.85 and 161,359.30

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Solution

The fourth proportional to 258,101.70, 356,309.85 and 161,359.30 is: 222,756.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,101.70 : 356,309.85 = 161,359.30 : x
  2. Step 2: Convert to fraction form
    258,101.70/356,309.85 = 161,359.30/x
  3. Step 3: Cross multiply
    258,101.70x = 356,309.85 × 161,359.30
  4. Step 4: Simplify right side
    258,101.70x = 57,493,907,172.31
  5. Step 5: Solve for x
    x = 57,493,907,172.31/258,101.70
  6. Step 6: Final answer
    x = 222,756.80

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1.5x scale

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.