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Finding the Fourth Proportional to 257,107.47, 385,808.88 and 200,789.49

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Solution

The fourth proportional to 257,107.47, 385,808.88 and 200,789.49 is: 301,299.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,107.47 : 385,808.88 = 200,789.49 : x
  2. Step 2: Convert to fraction form
    257,107.47/385,808.88 = 200,789.49/x
  3. Step 3: Cross multiply
    257,107.47x = 385,808.88 × 200,789.49
  4. Step 4: Simplify right side
    257,107.47x = 77,466,368,252.67
  5. Step 5: Solve for x
    x = 77,466,368,252.67/257,107.47
  6. Step 6: Final answer
    x = 301,299.56

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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.