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Finding the Fourth Proportional to 258,097.20, 356,115.92 and 144,912.48

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Solution

The fourth proportional to 258,097.20, 356,115.92 and 144,912.48 is: 199,946.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,097.20 : 356,115.92 = 144,912.48 : x
  2. Step 2: Convert to fraction form
    258,097.20/356,115.92 = 144,912.48/x
  3. Step 3: Cross multiply
    258,097.20x = 356,115.92 × 144,912.48
  4. Step 4: Simplify right side
    258,097.20x = 51,605,641,134.68
  5. Step 5: Solve for x
    x = 51,605,641,134.68/258,097.20
  6. Step 6: Final answer
    x = 199,946.54

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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.