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Finding the Fourth Proportional to 258,519.76, 388,142.94 and 132,250.58

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Solution

The fourth proportional to 258,519.76, 388,142.94 and 132,250.58 is: 198,561.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,519.76 : 388,142.94 = 132,250.58 : x
  2. Step 2: Convert to fraction form
    258,519.76/388,142.94 = 132,250.58/x
  3. Step 3: Cross multiply
    258,519.76x = 388,142.94 × 132,250.58
  4. Step 4: Simplify right side
    258,519.76x = 51,332,126,997.19
  5. Step 5: Solve for x
    x = 51,332,126,997.19/258,519.76
  6. Step 6: Final answer
    x = 198,561.72

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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.