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Finding the Fourth Proportional to 398,801.24, 550,034.50 and 255,574.60

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Solution

The fourth proportional to 398,801.24, 550,034.50 and 255,574.60 is: 352,493.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,801.24 : 550,034.50 = 255,574.60 : x
  2. Step 2: Convert to fraction form
    398,801.24/550,034.50 = 255,574.60/x
  3. Step 3: Cross multiply
    398,801.24x = 550,034.50 × 255,574.60
  4. Step 4: Simplify right side
    398,801.24x = 140,574,847,323.70
  5. Step 5: Solve for x
    x = 140,574,847,323.70/398,801.24
  6. Step 6: Final answer
    x = 352,493.51

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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.