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Finding the Fourth Proportional to 259,574.41, 389,424.27 and 97,469.78

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Solution

The fourth proportional to 259,574.41, 389,424.27 and 97,469.78 is: 146,228.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,574.41 : 389,424.27 = 97,469.78 : x
  2. Step 2: Convert to fraction form
    259,574.41/389,424.27 = 97,469.78/x
  3. Step 3: Cross multiply
    259,574.41x = 389,424.27 × 97,469.78
  4. Step 4: Simplify right side
    259,574.41x = 37,957,097,923.56
  5. Step 5: Solve for x
    x = 37,957,097,923.56/259,574.41
  6. Step 6: Final answer
    x = 146,228.20

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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.