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Finding the Fourth Proportional to 409,523.21, 614,315.87 and 139,567.42

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Solution

The fourth proportional to 409,523.21, 614,315.87 and 139,567.42 is: 209,361.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,523.21 : 614,315.87 = 139,567.42 : x
  2. Step 2: Convert to fraction form
    409,523.21/614,315.87 = 139,567.42/x
  3. Step 3: Cross multiply
    409,523.21x = 614,315.87 × 139,567.42
  4. Step 4: Simplify right side
    409,523.21x = 85,738,481,634.39
  5. Step 5: Solve for x
    x = 85,738,481,634.39/409,523.21
  6. Step 6: Final answer
    x = 209,361.72

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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.