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Finding the Fourth Proportional to 398,795.20, 550,026.20 and 255,568.56

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Solution

The fourth proportional to 398,795.20, 550,026.20 and 255,568.56 is: 352,485.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,795.20 : 550,026.20 = 255,568.56 : x
  2. Step 2: Convert to fraction form
    398,795.20/550,026.20 = 255,568.56/x
  3. Step 3: Cross multiply
    398,795.20x = 550,026.20 × 255,568.56
  4. Step 4: Simplify right side
    398,795.20x = 140,569,403,896.27
  5. Step 5: Solve for x
    x = 140,569,403,896.27/398,795.20
  6. Step 6: Final answer
    x = 352,485.20

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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.