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Finding the Fourth Proportional to 301,238.41, 451,542.33 and 101,489.78

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Solution

The fourth proportional to 301,238.41, 451,542.33 and 101,489.78 is: 152,128.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,238.41 : 451,542.33 = 101,489.78 : x
  2. Step 2: Convert to fraction form
    301,238.41/451,542.33 = 101,489.78/x
  3. Step 3: Cross multiply
    301,238.41x = 451,542.33 × 101,489.78
  4. Step 4: Simplify right side
    301,238.41x = 45,826,931,732.39
  5. Step 5: Solve for x
    x = 45,826,931,732.39/301,238.41
  6. Step 6: Final answer
    x = 152,128.45

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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.