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Finding the Fourth Proportional to 509,761.86, 764,593.32 and 154,778.96

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Solution

The fourth proportional to 509,761.86, 764,593.32 and 154,778.96 is: 232,153.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,761.86 : 764,593.32 = 154,778.96 : x
  2. Step 2: Convert to fraction form
    509,761.86/764,593.32 = 154,778.96/x
  3. Step 3: Cross multiply
    509,761.86x = 764,593.32 × 154,778.96
  4. Step 4: Simplify right side
    509,761.86x = 118,342,958,892.55
  5. Step 5: Solve for x
    x = 118,342,958,892.55/509,761.86
  6. Step 6: Final answer
    x = 232,153.42

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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.