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Finding the Fourth Proportional to 258,229.60, 356,311.92 and 145,057.12

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Solution

The fourth proportional to 258,229.60, 356,311.92 and 145,057.12 is: 200,153.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,229.60 : 356,311.92 = 145,057.12 : x
  2. Step 2: Convert to fraction form
    258,229.60/356,311.92 = 145,057.12/x
  3. Step 3: Cross multiply
    258,229.60x = 356,311.92 × 145,057.12
  4. Step 4: Simplify right side
    258,229.60x = 51,685,580,936.87
  5. Step 5: Solve for x
    x = 51,685,580,936.87/258,229.60
  6. Step 6: Final answer
    x = 200,153.59

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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.