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Finding the Fourth Proportional to 409,005.28, 613,600.08 and 124,720.96

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Solution

The fourth proportional to 409,005.28, 613,600.08 and 124,720.96 is: 187,109.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,005.28 : 613,600.08 = 124,720.96 : x
  2. Step 2: Convert to fraction form
    409,005.28/613,600.08 = 124,720.96/x
  3. Step 3: Cross multiply
    409,005.28x = 613,600.08 × 124,720.96
  4. Step 4: Simplify right side
    409,005.28x = 76,528,791,033.68
  5. Step 5: Solve for x
    x = 76,528,791,033.68/409,005.28
  6. Step 6: Final answer
    x = 187,109.54

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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.