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Finding the Fourth Proportional to 259,463.20, 389,090.64 and 126,304.64

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Solution

The fourth proportional to 259,463.20, 389,090.64 and 126,304.64 is: 189,406.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,463.20 : 389,090.64 = 126,304.64 : x
  2. Step 2: Convert to fraction form
    259,463.20/389,090.64 = 126,304.64/x
  3. Step 3: Cross multiply
    259,463.20x = 389,090.64 × 126,304.64
  4. Step 4: Simplify right side
    259,463.20x = 49,143,953,212.57
  5. Step 5: Solve for x
    x = 49,143,953,212.57/259,463.20
  6. Step 6: Final answer
    x = 189,406.26

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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.