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Finding the Fourth Proportional to 268,512, 370,561.92 and 149,287.68

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Solution

The fourth proportional to 268,512, 370,561.92 and 149,287.68 is: 206,025.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,512 : 370,561.92 = 149,287.68 : x
  2. Step 2: Convert to fraction form
    268,512/370,561.92 = 149,287.68/x
  3. Step 3: Cross multiply
    268,512x = 370,561.92 × 149,287.68
  4. Step 4: Simplify right side
    268,512x = 55,320,329,333.15
  5. Step 5: Solve for x
    x = 55,320,329,333.15/268,512
  6. Step 6: Final answer
    x = 206,025.54

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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.