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Finding the Fourth Proportional to 683,900, 1,025,296.31 and 284,839.47

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Solution

The fourth proportional to 683,900, 1,025,296.31 and 284,839.47 is: 427,028.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,900 : 1,025,296.31 = 284,839.47 : x
  2. Step 2: Convert to fraction form
    683,900/1,025,296.31 = 284,839.47/x
  3. Step 3: Cross multiply
    683,900x = 1,025,296.31 × 284,839.47
  4. Step 4: Simplify right side
    683,900x = 292,044,857,533.36
  5. Step 5: Solve for x
    x = 292,044,857,533.36/683,900
  6. Step 6: Final answer
    x = 427,028.60

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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.