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Finding the Fourth Proportional to 509,861.70, 764,306.55 and 189,927.90

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Solution

The fourth proportional to 509,861.70, 764,306.55 and 189,927.90 is: 284,710.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,861.70 : 764,306.55 = 189,927.90 : x
  2. Step 2: Convert to fraction form
    509,861.70/764,306.55 = 189,927.90/x
  3. Step 3: Cross multiply
    509,861.70x = 764,306.55 × 189,927.90
  4. Step 4: Simplify right side
    509,861.70x = 145,163,137,997.75
  5. Step 5: Solve for x
    x = 145,163,137,997.75/509,861.70
  6. Step 6: Final answer
    x = 284,710.81

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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.