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Finding the Fourth Proportional to 375,885.42, 518,745.50 and 206,119.54

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Solution

The fourth proportional to 375,885.42, 518,745.50 and 206,119.54 is: 284,457.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,885.42 : 518,745.50 = 206,119.54 : x
  2. Step 2: Convert to fraction form
    375,885.42/518,745.50 = 206,119.54/x
  3. Step 3: Cross multiply
    375,885.42x = 518,745.50 × 206,119.54
  4. Step 4: Simplify right side
    375,885.42x = 106,923,583,837.07
  5. Step 5: Solve for x
    x = 106,923,583,837.07/375,885.42
  6. Step 6: Final answer
    x = 284,457.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.