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Finding the Fourth Proportional to 509,845.40, 764,870.26 and 285,524.92

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Solution

The fourth proportional to 509,845.40, 764,870.26 and 285,524.92 is: 428,344.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,845.40 : 764,870.26 = 285,524.92 : x
  2. Step 2: Convert to fraction form
    509,845.40/764,870.26 = 285,524.92/x
  3. Step 3: Cross multiply
    509,845.40x = 764,870.26 × 285,524.92
  4. Step 4: Simplify right side
    509,845.40x = 218,389,519,796.88
  5. Step 5: Solve for x
    x = 218,389,519,796.88/509,845.40
  6. Step 6: Final answer
    x = 428,344.59

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1.5x scale

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.