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Finding the Fourth Proportional to 509,344, 764,064.60 and 209,844.88

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Solution

The fourth proportional to 509,344, 764,064.60 and 209,844.88 is: 314,787.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,344 : 764,064.60 = 209,844.88 : x
  2. Step 2: Convert to fraction form
    509,344/764,064.60 = 209,844.88/x
  3. Step 3: Cross multiply
    509,344x = 764,064.60 × 209,844.88
  4. Step 4: Simplify right side
    509,344x = 160,335,044,299.25
  5. Step 5: Solve for x
    x = 160,335,044,299.25/509,344
  6. Step 6: Final answer
    x = 314,787.34

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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.