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Finding the Fourth Proportional to 361,620.80, 499,224.48 and 280,867.52

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Solution

The fourth proportional to 361,620.80, 499,224.48 and 280,867.52 is: 387,743.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,620.80 : 499,224.48 = 280,867.52 : x
  2. Step 2: Convert to fraction form
    361,620.80/499,224.48 = 280,867.52/x
  3. Step 3: Cross multiply
    361,620.80x = 499,224.48 × 280,867.52
  4. Step 4: Simplify right side
    361,620.80x = 140,215,941,620.89
  5. Step 5: Solve for x
    x = 140,215,941,620.89/361,620.80
  6. Step 6: Final answer
    x = 387,743.02

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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.