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Finding the Fourth Proportional to 307,100.97, 423,800.19 and 178,064.73

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Solution

The fourth proportional to 307,100.97, 423,800.19 and 178,064.73 is: 245,729.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,100.97 : 423,800.19 = 178,064.73 : x
  2. Step 2: Convert to fraction form
    307,100.97/423,800.19 = 178,064.73/x
  3. Step 3: Cross multiply
    307,100.97x = 423,800.19 × 178,064.73
  4. Step 4: Simplify right side
    307,100.97x = 75,463,866,406.30
  5. Step 5: Solve for x
    x = 75,463,866,406.30/307,100.97
  6. Step 6: Final answer
    x = 245,729.82

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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.