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Finding the Fourth Proportional to 409,148.64, 613,729.44 and 124,845.12

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Solution

The fourth proportional to 409,148.64, 613,729.44 and 124,845.12 is: 187,269.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,148.64 : 613,729.44 = 124,845.12 : x
  2. Step 2: Convert to fraction form
    409,148.64/613,729.44 = 124,845.12/x
  3. Step 3: Cross multiply
    409,148.64x = 613,729.44 × 124,845.12
  4. Step 4: Simplify right side
    409,148.64x = 76,621,125,584.33
  5. Step 5: Solve for x
    x = 76,621,125,584.33/409,148.64
  6. Step 6: Final answer
    x = 187,269.66

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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.