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Finding the Fourth Proportional to 409,055.49, 613,581.56 and 124,745.20

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Solution

The fourth proportional to 409,055.49, 613,581.56 and 124,745.20 is: 187,117.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,055.49 : 613,581.56 = 124,745.20 : x
  2. Step 2: Convert to fraction form
    409,055.49/613,581.56 = 124,745.20/x
  3. Step 3: Cross multiply
    409,055.49x = 613,581.56 × 124,745.20
  4. Step 4: Simplify right side
    409,055.49x = 76,541,356,251.65
  5. Step 5: Solve for x
    x = 76,541,356,251.65/409,055.49
  6. Step 6: Final answer
    x = 187,117.29

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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.