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Finding the Fourth Proportional to 409,002.78, 613,596.33 and 124,718.46

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Solution

The fourth proportional to 409,002.78, 613,596.33 and 124,718.46 is: 187,105.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,002.78 : 613,596.33 = 124,718.46 : x
  2. Step 2: Convert to fraction form
    409,002.78/613,596.33 = 124,718.46/x
  3. Step 3: Cross multiply
    409,002.78x = 613,596.33 × 124,718.46
  4. Step 4: Simplify right side
    409,002.78x = 76,526,789,339.25
  5. Step 5: Solve for x
    x = 76,526,789,339.25/409,002.78
  6. Step 6: Final answer
    x = 187,105.79

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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.