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Finding the Fourth Proportional to 345,765.20, 519,036.60 and 267,227.60

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Solution

The fourth proportional to 345,765.20, 519,036.60 and 267,227.60 is: 401,141.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,765.20 : 519,036.60 = 267,227.60 : x
  2. Step 2: Convert to fraction form
    345,765.20/519,036.60 = 267,227.60/x
  3. Step 3: Cross multiply
    345,765.20x = 519,036.60 × 267,227.60
  4. Step 4: Simplify right side
    345,765.20x = 138,700,904,930.16
  5. Step 5: Solve for x
    x = 138,700,904,930.16/345,765.20
  6. Step 6: Final answer
    x = 401,141.89

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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.