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Finding the Fourth Proportional to 284,964.92, 426,885.60 and 231,717

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Solution

The fourth proportional to 284,964.92, 426,885.60 and 231,717 is: 347,118.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,964.92 : 426,885.60 = 231,717 : x
  2. Step 2: Convert to fraction form
    284,964.92/426,885.60 = 231,717/x
  3. Step 3: Cross multiply
    284,964.92x = 426,885.60 × 231,717
  4. Step 4: Simplify right side
    284,964.92x = 98,916,650,575.20
  5. Step 5: Solve for x
    x = 98,916,650,575.20/284,964.92
  6. Step 6: Final answer
    x = 347,118.69

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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.