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Finding the Fourth Proportional to 509,269.37, 763,156.37 and 256,202.03

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Solution

The fourth proportional to 509,269.37, 763,156.37 and 256,202.03 is: 383,926.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,269.37 : 763,156.37 = 256,202.03 : x
  2. Step 2: Convert to fraction form
    509,269.37/763,156.37 = 256,202.03/x
  3. Step 3: Cross multiply
    509,269.37x = 763,156.37 × 256,202.03
  4. Step 4: Simplify right side
    509,269.37x = 195,522,211,201.43
  5. Step 5: Solve for x
    x = 195,522,211,201.43/509,269.37
  6. Step 6: Final answer
    x = 383,926.90

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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.