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Finding the Fourth Proportional to 411,996, 568,507.50 and 230,682.72

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Solution

The fourth proportional to 411,996, 568,507.50 and 230,682.72 is: 318,315.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,996 : 568,507.50 = 230,682.72 : x
  2. Step 2: Convert to fraction form
    411,996/568,507.50 = 230,682.72/x
  3. Step 3: Cross multiply
    411,996x = 568,507.50 × 230,682.72
  4. Step 4: Simplify right side
    411,996x = 131,144,856,440.40
  5. Step 5: Solve for x
    x = 131,144,856,440.40/411,996
  6. Step 6: Final answer
    x = 318,315.85

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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.