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Finding the Fourth Proportional to 378,004.60, 566,229.30 and 259,809.40

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Solution

The fourth proportional to 378,004.60, 566,229.30 and 259,809.40 is: 389,179.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,004.60 : 566,229.30 = 259,809.40 : x
  2. Step 2: Convert to fraction form
    378,004.60/566,229.30 = 259,809.40/x
  3. Step 3: Cross multiply
    378,004.60x = 566,229.30 × 259,809.40
  4. Step 4: Simplify right side
    378,004.60x = 147,111,694,695.42
  5. Step 5: Solve for x
    x = 147,111,694,695.42/378,004.60
  6. Step 6: Final answer
    x = 389,179.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.